Question 66881
22.  
:
{{{(12 + x)/(-4)}}} = {{{(5x -7)/3}}} + 2
:
Get rid of the denominator, multiply equation by 12:
{{{(12(12 + x))/(-4)}}} = {{{(12)(5x -7)/3}}} + (12)2
Resulting in:
-3(12 + x) = 4(5x - 7) + 24
:
Multiply what's inside the bracket, (a neg outside changes the signs inside)
-36 - 3x = 20x - 28 + 24
:
-3x - 20x = -28 + 24 + 36
:
-23x = +32
x = +32/-23
x = -32/23
:
A rather unwieldy fraction, however, I checked it by substitution.