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-\left(x+12\right)+x+4=4x+12
Multiply both sides of the equation by 4, the least common multiple of -4,4.
-x-12+x+4=4x+12
To find the opposite of x+12, find the opposite of each term.
-12+4=4x+12
Combine -x and x to get 0.
-8=4x+12
Add -12 and 4 to get -8.
4x+12=-8
Swap sides so that all variable terms are on the left hand side.
4x=-8-12
Subtract 12 from both sides.
4x=-20
Subtract 12 from -8 to get -20.
x=\frac{-20}{4}
Divide both sides by 4.
x=-5
Divide -20 by 4 to get -5.