Solve (1-2/5)x=12

$$( 1 - \frac { 2 } { 5 } ) x = 12$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

Convert 1 to fraction \frac{5}{5}.

$$\left(\frac{5}{5}-\frac{2}{5}\right)x=12$$

Since \frac{5}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-2}{5}x=12$$

Subtract 2 from 5 to get 3.

$$\frac{3}{5}x=12$$

Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.

$$x=12\times \frac{5}{3}$$

Express 12\times \frac{5}{3} as a single fraction.

$$x=\frac{12\times 5}{3}$$

Multiply 12 and 5 to get 60.

$$x=\frac{60}{3}$$

Divide 60 by 3 to get 20.

$$x=20$$