Solve 1.6*10^-19*4.1=x*3*10^8*(1*10^7/1.5-1*10^7/3)

$$1.6 \times { 10 }^{ -19 } \times 4.1=x \times 3 \times { 10 }^{ 8 } \times ( \frac{ 1 \times { 10 }^{ 7 } }{ 1.5 } - \frac{ 1 \times { 10 }^{ 7 } }{ 3 } )$$

Solve for x

$$x=0.000000000000000000000000000000000656$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$4.8\times 10^{-19}\times 4.1=3x\times 3\times 10^{8}\left(\frac{1\times 10^{7}}{1.5}-\frac{1\times 10^{7}}{3}\right)$$

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$4.8\times \frac{1}{10000000000000000000}\times 4.1=3x\times 3\times 10^{8}\left(\frac{1\times 10^{7}}{1.5}-\frac{1\times 10^{7}}{3}\right)$$

Multiply 4.8 and \frac{1}{10000000000000000000} to get \frac{3}{6250000000000000000}.

$$\frac{3}{6250000000000000000}\times 4.1=3x\times 3\times 10^{8}\left(\frac{1\times 10^{7}}{1.5}-\frac{1\times 10^{7}}{3}\right)$$

Multiply \frac{3}{6250000000000000000} and 4.1 to get \frac{123}{62500000000000000000}.

$$\frac{123}{62500000000000000000}=3x\times 3\times 10^{8}\left(\frac{1\times 10^{7}}{1.5}-\frac{1\times 10^{7}}{3}\right)$$

Multiply 3 and 3 to get 9.

$$\frac{123}{62500000000000000000}=9x\times 10^{8}\left(\frac{1\times 10^{7}}{1.5}-\frac{1\times 10^{7}}{3}\right)$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{123}{62500000000000000000}=9x\times 100000000\left(\frac{1\times 10^{7}}{1.5}-\frac{1\times 10^{7}}{3}\right)$$

Multiply 9 and 100000000 to get 900000000.

$$\frac{123}{62500000000000000000}=900000000x\left(\frac{1\times 10^{7}}{1.5}-\frac{1\times 10^{7}}{3}\right)$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{123}{62500000000000000000}=900000000x\left(\frac{1\times 10000000}{1.5}-\frac{1\times 10^{7}}{3}\right)$$

Multiply 1 and 10000000 to get 10000000.

$$\frac{123}{62500000000000000000}=900000000x\left(\frac{10000000}{1.5}-\frac{1\times 10^{7}}{3}\right)$$

Expand \frac{10000000}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{123}{62500000000000000000}=900000000x\left(\frac{100000000}{15}-\frac{1\times 10^{7}}{3}\right)$$

Reduce the fraction \frac{100000000}{15} to lowest terms by extracting and canceling out 5.

$$\frac{123}{62500000000000000000}=900000000x\left(\frac{20000000}{3}-\frac{1\times 10^{7}}{3}\right)$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{123}{62500000000000000000}=900000000x\left(\frac{20000000}{3}-\frac{1\times 10000000}{3}\right)$$

Multiply 1 and 10000000 to get 10000000.

$$\frac{123}{62500000000000000000}=900000000x\left(\frac{20000000}{3}-\frac{10000000}{3}\right)$$

Subtract \frac{10000000}{3} from \frac{20000000}{3} to get \frac{10000000}{3}.

$$\frac{123}{62500000000000000000}=900000000x\times \frac{10000000}{3}$$

Multiply 900000000 and \frac{10000000}{3} to get 3000000000000000.

$$\frac{123}{62500000000000000000}=3000000000000000x$$

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

$$3000000000000000x=\frac{123}{62500000000000000000}$$

Divide both sides by 3000000000000000.

$$x=\frac{\frac{123}{62500000000000000000}}{3000000000000000}$$

Express \frac{\frac{123}{62500000000000000000}}{3000000000000000} as a single fraction.

$$x=\frac{123}{62500000000000000000\times 3000000000000000}$$

Multiply 62500000000000000000 and 3000000000000000 to get 187500000000000000000000000000000000.

$$x=\frac{123}{187500000000000000000000000000000000}$$

Reduce the fraction \frac{123}{187500000000000000000000000000000000} to lowest terms by extracting and canceling out 3.

$$x=\frac{41}{62500000000000000000000000000000000}$$