Solve 2(3w+4)=5

$$2 ( 3 w + 4 ) = 5$$

Solve for w

$$w=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$3w+4=\frac{5}{2}$$

Subtract 4 from both sides.

$$3w=\frac{5}{2}-4$$

Convert 4 to fraction \frac{8}{2}.

$$3w=\frac{5}{2}-\frac{8}{2}$$

Since \frac{5}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$3w=\frac{5-8}{2}$$

Subtract 8 from 5 to get -3.

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

Divide both sides by 3.

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

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

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

Multiply 2 and 3 to get 6.

$$w=\frac{-3}{6}$$

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

$$w=-\frac{1}{2}$$