Solve 3(2w+4)=10

$$3 ( 2 w + 4 ) = 10$$

Solve for w

$$w=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$2w+4=\frac{10}{3}$$

Subtract 4 from both sides.

$$2w=\frac{10}{3}-4$$

Convert 4 to fraction \frac{12}{3}.

$$2w=\frac{10}{3}-\frac{12}{3}$$

Since \frac{10}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$2w=\frac{10-12}{3}$$

Subtract 12 from 10 to get -2.

$$2w=-\frac{2}{3}$$

Divide both sides by 2.

$$w=\frac{-\frac{2}{3}}{2}$$

Express \frac{-\frac{2}{3}}{2} as a single fraction.

$$w=\frac{-2}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$w=\frac{-2}{6}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

$$w=-\frac{1}{3}$$