Solve 1-20%x=1/2

$$1 - 20 \% x = \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

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

$$1-\frac{1}{5}x=\frac{1}{2}$$

Subtract 1 from both sides.

$$-\frac{1}{5}x=\frac{1}{2}-1$$

Convert 1 to fraction \frac{2}{2}.

$$-\frac{1}{5}x=\frac{1}{2}-\frac{2}{2}$$

Since \frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{5}x=\frac{1-2}{2}$$

Subtract 2 from 1 to get -1.

$$-\frac{1}{5}x=-\frac{1}{2}$$

Multiply both sides by -5, the reciprocal of -\frac{1}{5}.

$$x=-\frac{1}{2}\left(-5\right)$$

Express -\frac{1}{2}\left(-5\right) as a single fraction.

$$x=\frac{-\left(-5\right)}{2}$$

Multiply -1 and -5 to get 5.

$$x=\frac{5}{2}$$