Solve (1+30%)x=24

$$( 1 + 30 \% ) x = 24$$

Solve for x

$$x = \frac{240}{13} = 18\frac{6}{13} \approx 18.461538462$$

Steps for Solving Linear Equation

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\left(1+\frac{3}{10}\right)x=24$$

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

$$\left(\frac{10}{10}+\frac{3}{10}\right)x=24$$

Since \frac{10}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{10}x=24$$

Add 10 and 3 to get 13.

$$\frac{13}{10}x=24$$

Multiply both sides by \frac{10}{13}, the reciprocal of \frac{13}{10}.

$$x=24\times \frac{10}{13}$$

Express 24\times \frac{10}{13} as a single fraction.

$$x=\frac{24\times 10}{13}$$

Multiply 24 and 10 to get 240.

$$x=\frac{240}{13}$$