Solve 150*80%-x=20%x

$$150 \times 80 \% -x=20 \% x$$

Solve for x

$$x=100$$

Steps for Solving Linear Equation

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$150\times \frac{4}{5}-x=\frac{20}{100}x$$

Express 150\times \frac{4}{5} as a single fraction.

$$\frac{150\times 4}{5}-x=\frac{20}{100}x$$

Multiply 150 and 4 to get 600.

$$\frac{600}{5}-x=\frac{20}{100}x$$

Divide 600 by 5 to get 120.

$$120-x=\frac{20}{100}x$$

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

$$120-x=\frac{1}{5}x$$

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

$$120-x-\frac{1}{5}x=0$$

Combine -x and -\frac{1}{5}x to get -\frac{6}{5}x.

$$120-\frac{6}{5}x=0$$

Subtract 120 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{6}{5}x=-120$$

Multiply both sides by -\frac{5}{6}, the reciprocal of -\frac{6}{5}.

$$x=-120\left(-\frac{5}{6}\right)$$

Express -120\left(-\frac{5}{6}\right) as a single fraction.

$$x=\frac{-120\left(-5\right)}{6}$$

Multiply -120 and -5 to get 600.

$$x=\frac{600}{6}$$

Divide 600 by 6 to get 100.

$$x=100$$