Solve 80%x=2000(1+70%)=

$$80 \% x=2000(1+70 \% )=$$

Solve for x

$$x=4250$$

Steps for Solving Linear Equation

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

$$\frac{4}{5}x=2000\left(1+\frac{70}{100}\right)$$

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$\frac{4}{5}x=2000\left(1+\frac{7}{10}\right)$$

Convert 1 to fraction \frac{10}{10}.

$$\frac{4}{5}x=2000\left(\frac{10}{10}+\frac{7}{10}\right)$$

Since \frac{10}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{4}{5}x=2000\times \frac{10+7}{10}$$

Add 10 and 7 to get 17.

$$\frac{4}{5}x=2000\times \frac{17}{10}$$

Express 2000\times \frac{17}{10} as a single fraction.

$$\frac{4}{5}x=\frac{2000\times 17}{10}$$

Multiply 2000 and 17 to get 34000.

$$\frac{4}{5}x=\frac{34000}{10}$$

Divide 34000 by 10 to get 3400.

$$\frac{4}{5}x=3400$$

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

$$x=3400\times \frac{5}{4}$$

Express 3400\times \frac{5}{4} as a single fraction.

$$x=\frac{3400\times 5}{4}$$

Multiply 3400 and 5 to get 17000.

$$x=\frac{17000}{4}$$

Divide 17000 by 4 to get 4250.

$$x=4250$$