# How do you solve 35= 5w + 7( w - 7)?

##### 2 Answers
Jul 8, 2018

$w = 7$

#### Explanation:

$5 w + 7 \left(w - 7\right) = 35$

Next, we can distribute the $7$ to both terms in the parenthesis. We now have

$5 w + 7 w - 49 = 35$

We can combine our $w$ terms to get

$12 w - 49 = 35$

Remember, we want to isolate the $w$ term, so we can do this by adding $49$ to both sides. We now have

$12 w = 84$

Our last step would be to divide both sides by $12$. As our final answer, we get

$w = 7$

Hope this helps!

Jul 8, 2018

$w = 7$

#### Explanation:

Solve:

$35 = 5 w + 7 \left(w - 7\right)$

Expand.

$35 = 5 w + 7 w - 49$

Add $49$ to both sides.

$49 + 35 = 5 w + 7 w$

Simplify.

$84 = 12 w$

Divide both sides by $12$.

$\frac{84}{12} = w$

Simplify.

$7 = w$

Switch sides.

$w = 7$