Solve (1.2*10^5*200div300)+(0.8*10^5*300div310)=(x*500div290)

$$(1.2 \times { 10 }^{ 5 } \times 200 \div 300)+(0.8 \times { 10 }^{ 5 } \times 300 \div 310)=(x \times 500 \div 290)$$

Solve for x

$$x = \frac{2830400}{31} = 91303\frac{7}{31} \approx 91303.225806452$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 269700, the least common multiple of 300,310,290.

$$899\times 1.2\times 10^{5}\times 200+870\times 0.8\times 10^{5}\times 300=930x\times 500$$

Multiply 899 and 1.2 to get 1078.8.

$$1078.8\times 10^{5}\times 200+870\times 0.8\times 10^{5}\times 300=930x\times 500$$

Calculate 10 to the power of 5 and get 100000.

$$1078.8\times 100000\times 200+870\times 0.8\times 10^{5}\times 300=930x\times 500$$

Multiply 1078.8 and 100000 to get 107880000.

$$107880000\times 200+870\times 0.8\times 10^{5}\times 300=930x\times 500$$

Multiply 107880000 and 200 to get 21576000000.

$$21576000000+870\times 0.8\times 10^{5}\times 300=930x\times 500$$

Multiply 870 and 0.8 to get 696.

$$21576000000+696\times 10^{5}\times 300=930x\times 500$$

Calculate 10 to the power of 5 and get 100000.

$$21576000000+696\times 100000\times 300=930x\times 500$$

Multiply 696 and 100000 to get 69600000.

$$21576000000+69600000\times 300=930x\times 500$$

Multiply 69600000 and 300 to get 20880000000.

$$21576000000+20880000000=930x\times 500$$

Add 21576000000 and 20880000000 to get 42456000000.

$$42456000000=930x\times 500$$

Multiply 930 and 500 to get 465000.

$$42456000000=465000x$$

Swap sides so that all variable terms are on the left hand side.

$$465000x=42456000000$$

Divide both sides by 465000.

$$x=\frac{42456000000}{465000}$$

Reduce the fraction \frac{42456000000}{465000} to lowest terms by extracting and canceling out 15000.

$$x=\frac{2830400}{31}$$