Solve for w 5w+8-12w=16-15w

$5 w + 8 - 12 w = 16 - 15 w$

Step 1

Subtract $12 w$ from $5 w$ .

$- 7 w + 8 = 16 - 15 w$

Step 2

Move all terms containing $w$ to the left side of the equation.

Add $15 w$ to both sides of the equation.

$- 7 w + 8 + 15 w = 16$

Add $- 7 w$ and $15 w$ .

$8 w + 8 = 16$

Step 3

Move all terms not containing $w$ to the right side of the equation.

Subtract $8$ from both sides of the equation.

$8 w = 16 - 8$

Subtract $8$ from $16$ .

$8 w = 8$

Step 4

Divide each term in $8 w = 8$ by $8$ and simplify.

Divide each term in $8 w = 8$ by $8$ .

$\frac{8 w}{8} = \frac{8}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 w}{8} = \frac{8}{8}$

Divide $w$ by $1$ .

$w = \frac{8}{8}$

Simplify the right side.

Divide $8$ by $8$ .

$w = 1$