Solve for x
x=-24
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54-x=12-3\left(x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 6,2.
54-x=12-3x-6
Use the distributive property to multiply -3 by x+2.
54-x=6-3x
Subtract 6 from 12 to get 6.
54-x+3x=6
Add 3x to both sides.
-x+3x=6-54
Subtract 54 from both sides.
-x+3x=-48
Subtract 54 from 6 to get -48.
2x=-48
Combine -x and 3x to get 2x.
x=\frac{-48}{2}
Divide both sides by 2.
x=-24
Divide -48 by 2 to get -24.
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