Solve 300*10^-6=(10^-2-x)*0.15

$$300 \times 10 ^ { - 6 } = ( 10 ^ { - 2 } - x ) \times 0.15$$

Solve for x

$$x=0.008$$

Steps for Solving Linear Equation

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

$$300\times \frac{1}{1000000}=\left(10^{-2}-x\right)\times 0.15$$

Multiply 300 and \frac{1}{1000000} to get \frac{3}{10000}.

$$\frac{3}{10000}=\left(10^{-2}-x\right)\times 0.15$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{3}{10000}=\left(\frac{1}{100}-x\right)\times 0.15$$

Use the distributive property to multiply \frac{1}{100}-x by 0.15.

$$\frac{3}{10000}=\frac{3}{2000}-0.15x$$

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

$$\frac{3}{2000}-0.15x=\frac{3}{10000}$$

Subtract \frac{3}{2000} from both sides.

$$-0.15x=\frac{3}{10000}-\frac{3}{2000}$$

Subtract \frac{3}{2000} from \frac{3}{10000} to get -\frac{3}{2500}.

$$-0.15x=-\frac{3}{2500}$$

Divide both sides by -0.15.

$$x=\frac{-\frac{3}{2500}}{-0.15}$$

Express \frac{-\frac{3}{2500}}{-0.15} as a single fraction.

$$x=\frac{-3}{2500\left(-0.15\right)}$$

Multiply 2500 and -0.15 to get -375.

$$x=\frac{-3}{-375}$$

Reduce the fraction \frac{-3}{-375} to lowest terms by extracting and canceling out -3.

$$x=\frac{1}{125}$$