Solve 10%x=20%(x-100000)

$$10 \% x=20 \% (x-100000)$$

Solve for x

$$x=200000$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$\frac{1}{10}x=\frac{20}{100}\left(x-100000\right)$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{1}{10}x=\frac{1}{5}\left(x-100000\right)$$

Use the distributive property to multiply \frac{1}{5} by x-100000.

$$\frac{1}{10}x=\frac{1}{5}x+\frac{1}{5}\left(-100000\right)$$

Multiply \frac{1}{5} and -100000 to get \frac{-100000}{5}.

$$\frac{1}{10}x=\frac{1}{5}x+\frac{-100000}{5}$$

Divide -100000 by 5 to get -20000.

$$\frac{1}{10}x=\frac{1}{5}x-20000$$

Subtract \frac{1}{5}x from both sides.

$$\frac{1}{10}x-\frac{1}{5}x=-20000$$

Combine \frac{1}{10}x and -\frac{1}{5}x to get -\frac{1}{10}x.

$$-\frac{1}{10}x=-20000$$

Multiply both sides by -10, the reciprocal of -\frac{1}{10}.

$$x=-20000\left(-10\right)$$

Multiply -20000 and -10 to get 200000.

$$x=200000$$