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

2 Answers
Jul 14, 2017

Answer:

#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#

Jul 14, 2017

Answer:

#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#