Solve for w 7(w+8)=2w+10

$7 (w + 8) = 2 w + 10$

Simplify $7 (w + 8)$ .

Rewrite.

$0 + 0 + 7 (w + 8) = 2 w + 10$

Simplify by adding zeros.

$7 (w + 8) = 2 w + 10$

Apply the distributive property.

$7 w + 7 \cdot 8 = 2 w + 10$

Multiply $7$ by $8$ .

$7 w + 56 = 2 w + 10$

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

Subtract $2 w$ from both sides of the equation.

$7 w + 56 - 2 w = 10$

Subtract $2 w$ from $7 w$ .

$5 w + 56 = 10$

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

Subtract $56$ from both sides of the equation.

$5 w = 10 - 56$

Subtract $56$ from $10$ .

$5 w = - 46$

Divide each term in $5 w = - 46$ by $5$ and simplify.

Divide each term in $5 w = - 46$ by $5$ .

$\frac{5 w}{5} = \frac{- 46}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 w}{5} = \frac{- 46}{5}$

Divide $w$ by $1$ .

$w = \frac{- 46}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$w = - \frac{46}{5}$

The result can be shown in multiple forms.

Exact Form:

$w = - \frac{46}{5}$

Decimal Form:

$w = - 9.2$

Mixed Number Form:

$w = - 9 \frac{1}{5}$