Solve 123x-45*10^-6=45*10^-7

$$123x-45 \times { 10 }^{ -6 } = 45 \times { 10 }^{ -7 }$$

Solve for x

$$x=\frac{33}{82000000}\approx 0.000000402$$

Steps for Solving Linear Equation

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$123x-45\times \frac{1}{1000000}=45\times 10^{-7}$$

Multiply 45 and \frac{1}{1000000} to get \frac{9}{200000}.

$$123x-\frac{9}{200000}=45\times 10^{-7}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$123x-\frac{9}{200000}=45\times \frac{1}{10000000}$$

Multiply 45 and \frac{1}{10000000} to get \frac{9}{2000000}.

$$123x-\frac{9}{200000}=\frac{9}{2000000}$$

Add \frac{9}{200000} to both sides.

$$123x=\frac{9}{2000000}+\frac{9}{200000}$$

Add \frac{9}{2000000} and \frac{9}{200000} to get \frac{99}{2000000}.

$$123x=\frac{99}{2000000}$$

Divide both sides by 123.

$$x=\frac{\frac{99}{2000000}}{123}$$

Express \frac{\frac{99}{2000000}}{123} as a single fraction.

$$x=\frac{99}{2000000\times 123}$$

Multiply 2000000 and 123 to get 246000000.

$$x=\frac{99}{246000000}$$

Reduce the fraction \frac{99}{246000000} to lowest terms by extracting and canceling out 3.

$$x=\frac{33}{82000000}$$