Solve (1+30%)x=39

$$(1+30 \% )x=39$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

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

$$\left(1+\frac{3}{10}\right)x=39$$

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

$$\left(\frac{10}{10}+\frac{3}{10}\right)x=39$$

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

$$\frac{10+3}{10}x=39$$

Add 10 and 3 to get 13.

$$\frac{13}{10}x=39$$

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

$$x=39\times \frac{10}{13}$$

Express 39\times \frac{10}{13} as a single fraction.

$$x=\frac{39\times 10}{13}$$

Multiply 39 and 10 to get 390.

$$x=\frac{390}{13}$$

Divide 390 by 13 to get 30.

$$x=30$$