# How do you solve 2( 9+ 2x ) + 2( 2x ) = 360?

Jul 14, 2017

$x = \frac{171}{4}$

Refer to the explanation for the process.

#### Explanation:

Solve:

$2 \left(9 + 2 x\right) + 2 \left(2 x\right) = 360$

Expand.

$18 + 4 x + 4 x = 360$

Simplify.

$18 + 8 x = 360$

Subtract $18$ from both sides.

$8 x = 360 - 18$

Simplify.

$8 x = 342$

Divide both sides by $8$.

$x = \frac{342}{8}$

Simplify.

$x = \frac{342 \div 2}{8 \div 2}$

$x = \frac{171}{4}$

Jul 14, 2017

$x = 42.75$

#### Explanation:

$2 \left(9 + 2 x\right) + 2 \left(2 x\right) = 360$

This is your base equation. First we're going to distribute the twos into each term in the parentheses, like so:

$18 + 4 x + 4 x = 360$

Combine like terms...

$18 + 8 x = 360$

Subtract 18 from both sides.

$8 x = 342$

And now divide both sides by $8$.

$x = 42.75$