How do you solve #-7x-3x+2=-8x-8# ?

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Answer 1 · 2018-04-27T18:23:49

#x=5#

First, add #8x# to both sides

#-7x-3x+2+8x=-8x-8+8x#

Combine like terms

Left Side: #-7x-3x+2+8x#

#-10x+2+8x#

#-2x+2#

Right Side: #-8x-8+8x#

#0x-8#

#-8#

Whole thing

#-2x+2=-8#

Now subtract #2# from both sides

#-2x+2-2=-8-2#

#-2x+0=-10#

#-2x=-10#

Divide each side by #-2#

#(-2x)/-2=(-10)/-2#

The negatives cancel on both sides because a negative value divided by another negative value is a positive value

#(2x)/2=(10)/2#

Simplify

#x=5#