How do you solve #3( x - 2) + 5= - 2x - 11#?

1 Answer
Meave60
Mar 10, 2018

#x=-2#

Explanation:

#3(x-2)+5=-2x-11#

Expand.

#3x-6+5=-2x-11#

Simplify.

#3x-1=-2x-11#

Add #1# to both sides of the equation.

#3x-1+1=-2x-11+1#

Simplify.

#3x+0=-2x-10#

#3x=-2x-10#

Add #2x# to both sides.

#3x+2x=-2x+2x-10#

Simplify.

#5x=0-10#

#5x=-10#

Divide both sides by #5#.

#(color(red)cancel(color(black)(5))^1x)/color(red)cancel(color(black)(5))^1=(-color(red)cancel(color(black)(10)))^2/color(red)cancel(color(black)(5))^1#

Simplify.

#x=-2#

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