Solve 2.56*10^9+x*1.28*10^9+5*2.56*10^8=frac{2.56*10^9+x*1.28*{10}^9}{0.7*4}+5*2.56*{10}^8

$$2.56 \times { 10 }^{ 9 } +x \times 1.28 \times { 10 }^{ 9 } +5 \times 2.56 \times { 10 }^{ 8 } = \frac{ 2.56 \times { 10 }^{ 9 } +x \times 1.28 \times { 10 }^{ 9 } }{ 0.7 \times 4 } +5 \times 2.56 \times { 10 }^{ 8 }$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Calculate 10 to the power of 9 and get 1000000000.

$$2.56\times 1000000000+x\times 1.28\times 10^{9}+5\times 2.56\times 10^{8}=\frac{2.56\times 10^{9}+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Multiply 2.56 and 1000000000 to get 2560000000.

$$2560000000+x\times 1.28\times 10^{9}+5\times 2.56\times 10^{8}=\frac{2.56\times 10^{9}+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Calculate 10 to the power of 9 and get 1000000000.

$$2560000000+x\times 1.28\times 1000000000+5\times 2.56\times 10^{8}=\frac{2.56\times 10^{9}+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Multiply 1.28 and 1000000000 to get 1280000000.

$$2560000000+x\times 1280000000+5\times 2.56\times 10^{8}=\frac{2.56\times 10^{9}+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Multiply 5 and 2.56 to get 12.8.

$$2560000000+x\times 1280000000+12.8\times 10^{8}=\frac{2.56\times 10^{9}+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Calculate 10 to the power of 8 and get 100000000.

$$2560000000+x\times 1280000000+12.8\times 100000000=\frac{2.56\times 10^{9}+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Multiply 12.8 and 100000000 to get 1280000000.

$$2560000000+x\times 1280000000+1280000000=\frac{2.56\times 10^{9}+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Add 2560000000 and 1280000000 to get 3840000000.

$$3840000000+x\times 1280000000=\frac{2.56\times 10^{9}+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Calculate 10 to the power of 9 and get 1000000000.

$$3840000000+x\times 1280000000=\frac{2.56\times 1000000000+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Multiply 2.56 and 1000000000 to get 2560000000.

$$3840000000+x\times 1280000000=\frac{2560000000+x\times 1.28\times 10^{9}}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Calculate 10 to the power of 9 and get 1000000000.

$$3840000000+x\times 1280000000=\frac{2560000000+x\times 1.28\times 1000000000}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Multiply 1.28 and 1000000000 to get 1280000000.

$$3840000000+x\times 1280000000=\frac{2560000000+x\times 1280000000}{0.7\times 4}+5\times 2.56\times 10^{8}$$

Multiply 0.7 and 4 to get 2.8.

$$3840000000+x\times 1280000000=\frac{2560000000+x\times 1280000000}{2.8}+5\times 2.56\times 10^{8}$$

Multiply 5 and 2.56 to get 12.8.

$$3840000000+x\times 1280000000=\frac{2560000000+x\times 1280000000}{2.8}+12.8\times 10^{8}$$

Calculate 10 to the power of 8 and get 100000000.

$$3840000000+x\times 1280000000=\frac{2560000000+x\times 1280000000}{2.8}+12.8\times 100000000$$

Multiply 12.8 and 100000000 to get 1280000000.

$$3840000000+x\times 1280000000=\frac{2560000000+x\times 1280000000}{2.8}[phone]$$

Divide each term of 2560000000+x\times 1280000000 by 2.8 to get \frac{2560000000}{2.8}+\frac{x\times 1280000000}{2.8}.

$$3840000000+x\times 1280000000=\frac{2560000000}{2.8}+\frac{x\times 1280000000}{2.8}[phone]$$

Expand \frac{2560000000}{2.8} by multiplying both numerator and the denominator by 10.

$$3840000000+x\times 1280000000=\frac{25600000000}{28}+\frac{x\times 1280000000}{2.8}[phone]$$

Reduce the fraction \frac{25600000000}{28} to lowest terms by extracting and canceling out 4.

$$3840000000+x\times 1280000000=\frac{6400000000}{7}+\frac{x\times 1280000000}{2.8}[phone]$$

Divide x\times 1280000000 by 2.8 to get x\times \frac{3200000000}{7}.

$$3840000000+x\times 1280000000=\frac{6400000000}{7}+x\times \frac{3200000000}{7}[phone]$$

Convert 1280000000 to fraction \frac{8960000000}{7}.

$$3840000000+x\times 1280000000=\frac{6400000000}{7}+x\times \frac{3200000000}{7}+\frac{8960000000}{7}$$

Since \frac{6400000000}{7} and \frac{8960000000}{7} have the same denominator, add them by adding their numerators.

$$3840000000+x\times 1280000000=\frac{6400000000+8960000000}{7}+x\times \frac{3200000000}{7}$$

Add 6400000000 and 8960000000 to get 15360000000.

$$3840000000+x\times 1280000000=\frac{15360000000}{7}+x\times \frac{3200000000}{7}$$

Subtract x\times \frac{3200000000}{7} from both sides.

$$3840000000+x\times 1280000000-x\times \frac{3200000000}{7}=\frac{15360000000}{7}$$

Combine x\times 1280000000 and -x\times \frac{3200000000}{7} to get \frac{5760000000}{7}x.

$$3840000000+\frac{5760000000}{7}x=\frac{15360000000}{7}$$

Subtract 3840000000 from both sides.

$$\frac{5760000000}{7}x=\frac{15360000000}{7}-3840000000$$

Convert 3840000000 to fraction \frac{26880000000}{7}.

$$\frac{5760000000}{7}x=\frac{15360000000}{7}-\frac{26880000000}{7}$$

Since \frac{15360000000}{7} and \frac{26880000000}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5760000000}{7}x=\frac{15360000000-26880000000}{7}$$

Subtract 26880000000 from 15360000000 to get -11520000000.

$$\frac{5760000000}{7}x=-\frac{11520000000}{7}$$

Divide both sides by \frac{5760000000}{7}.

$$x=\frac{-\frac{11520000000}{7}}{\frac{5760000000}{7}}$$

Express \frac{-\frac{11520000000}{7}}{\frac{5760000000}{7}} as a single fraction.

$$x=\frac{-11520000000}{7\times \frac{5760000000}{7}}$$

Multiply 7 and \frac{5760000000}{7} to get 5760000000.

$$x=\frac{-11520000000}{5760000000}$$

Divide -11520000000 by 5760000000 to get -2.

$$x=-2$$