Question

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

Answer 1

`x=171/4`

Refer to the explanation for the process.

Explanation:

Solve:

`2(9+2x)+2(2x)=360`

Expand.

`18+4x+4x=360`

Simplify.

`18+8x=360`

Subtract `18` from both sides.

`8x=360-18`

Simplify.

`8x=342`

Divide both sides by `8`.

`x=342/8`

Simplify.

`x=(342-:2)/(8-:2)`

`x=171/4`

Answer 2

`x = 42.75`

Explanation:

`2(9 + 2x) + 2(2x) = 360`

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

`18 + 4x + 4x = 360`

Combine like terms...

`18 + 8x = 360`

Subtract 18 from both sides.

`8x = 342`

And now divide both sides by `8`.

`x = 42.75`