Solve 3(2w+1)-2(w-2)=5

$$3 ( 2 w + 1 ) - 2 ( w - 2 ) = 5$$

Solve for w

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

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2w+1.

$$6w+3-2\left(w-2\right)=5$$

Use the distributive property to multiply -2 by w-2.

$$6w+3-2w+4=5$$

Combine 6w and -2w to get 4w.

$$4w+3+4=5$$

Add 3 and 4 to get 7.

$$4w+7=5$$

Subtract 7 from both sides.

$$4w=5-7$$

Subtract 7 from 5 to get -2.

$$4w=-2$$

Divide both sides by 4.

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

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

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