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2x-8x-96=54-18x
Use the distributive property to multiply -8 by x+12.
-6x-96=54-18x
Combine 2x and -8x to get -6x.
-6x-96+18x=54
Add 18x to both sides.
12x-96=54
Combine -6x and 18x to get 12x.
12x=54+96
Add 96 to both sides.
12x=150
Add 54 and 96 to get 150.
x=\frac{150}{12}
Divide both sides by 12.
x=\frac{25}{2}
Reduce the fraction \frac{150}{12} to lowest terms by extracting and canceling out 6.