Solve 3(5x+2)=7

$$3(5x+2)=7$$

Solve for x

$$x=\frac{1}{15}\approx 0.066666667$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$5x+2=\frac{7}{3}$$

Subtract 2 from both sides.

$$5x=\frac{7}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$5x=\frac{7}{3}-\frac{6}{3}$$

Since \frac{7}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$5x=\frac{7-6}{3}$$

Subtract 6 from 7 to get 1.

$$5x=\frac{1}{3}$$

Divide both sides by 5.

$$x=\frac{\frac{1}{3}}{5}$$

Express \frac{\frac{1}{3}}{5} as a single fraction.

$$x=\frac{1}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$x=\frac{1}{15}$$