Solve (1+20%)x=36

$$(1+20 \% )x=36$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

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

$$\left(1+\frac{1}{5}\right)x=36$$

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

$$\left(\frac{5}{5}+\frac{1}{5}\right)x=36$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{5+1}{5}x=36$$

Add 5 and 1 to get 6.

$$\frac{6}{5}x=36$$

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

$$x=36\times \frac{5}{6}$$

Express 36\times \frac{5}{6} as a single fraction.

$$x=\frac{36\times 5}{6}$$

Multiply 36 and 5 to get 180.

$$x=\frac{180}{6}$$

Divide 180 by 6 to get 30.

$$x=30$$