Solve 60%x=2000*(1+40%)

$$60 \% x=2000 \times (1+40 \% )$$

Solve for x

$$x = \frac{14000}{3} = 4666\frac{2}{3} \approx 4666.666666667$$

Steps for Solving Linear Equation

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$\frac{3}{5}x=2000\left(1+\frac{40}{100}\right)$$

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$\frac{3}{5}x=2000\left(1+\frac{2}{5}\right)$$

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

$$\frac{3}{5}x=2000\left(\frac{5}{5}+\frac{2}{5}\right)$$

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

$$\frac{3}{5}x=2000\times \frac{5+2}{5}$$

Add 5 and 2 to get 7.

$$\frac{3}{5}x=2000\times \frac{7}{5}$$

Express 2000\times \frac{7}{5} as a single fraction.

$$\frac{3}{5}x=\frac{2000\times 7}{5}$$

Multiply 2000 and 7 to get 14000.

$$\frac{3}{5}x=\frac{14000}{5}$$

Divide 14000 by 5 to get 2800.

$$\frac{3}{5}x=2800$$

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

$$x=2800\times \frac{5}{3}$$

Express 2800\times \frac{5}{3} as a single fraction.

$$x=\frac{2800\times 5}{3}$$

Multiply 2800 and 5 to get 14000.

$$x=\frac{14000}{3}$$