Solve 80%x=1500*(1+20%)

$$80 \% x=1500 \times (1+20 \% )$$

Solve for x

$$x=2250$$

Steps for Solving Linear Equation

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

$$\frac{4}{5}x=1500\left(1+\frac{20}{100}\right)$$

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

$$\frac{4}{5}x=1500\left(1+\frac{1}{5}\right)$$

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

$$\frac{4}{5}x=1500\left(\frac{5}{5}+\frac{1}{5}\right)$$

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

$$\frac{4}{5}x=1500\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{4}{5}x=1500\times \frac{6}{5}$$

Express 1500\times \frac{6}{5} as a single fraction.

$$\frac{4}{5}x=\frac{1500\times 6}{5}$$

Multiply 1500 and 6 to get 9000.

$$\frac{4}{5}x=\frac{9000}{5}$$

Divide 9000 by 5 to get 1800.

$$\frac{4}{5}x=1800$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=1800\times \frac{5}{4}$$

Express 1800\times \frac{5}{4} as a single fraction.

$$x=\frac{1800\times 5}{4}$$

Multiply 1800 and 5 to get 9000.

$$x=\frac{9000}{4}$$

Divide 9000 by 4 to get 2250.

$$x=2250$$