# How do you solve 2( 2e - 8) + 5e = 29?

Sep 3, 2017

$e = 5$

#### Explanation:

First expand the brackets:

$2 \left(2e-8\right) + 5 e = 29$
$4 e - 16 + 5 e = 29$

Then collect all of the like terms together. In this case I add the e's together on the left hand side and add 16 to both sides.

$4 e - 16 + 5 e = 29$

$4 e + 5 e - 16 + 16 = 29 + 16$
$9 e = 45$

Then solve for e by diving 45 by 9

$e = \frac{45}{9}$
$e = 5$

Sep 3, 2017

$e = 5$

Refer to the explanation for the process.

#### Explanation:

Solve:

$2 \left(2e-8\right) + 5 e = 29$

Expand the left side.

$4e-16 + 5 e = 29$

Add $16$ to both sides.

$4e+5 e = 29 + 16$

Simplify.

$9 e = 45$

Divide both sides by $9$.

$e = \frac{45}{9}$

Simplify.

$e = 5$