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12x+7=x-4
Multiply both sides of the equation by 6, the least common multiple of 6,3.
12x+7-x=-4
Subtract x from both sides.
11x+7=-4
Combine 12x and -x to get 11x.
11x=-4-7
Subtract 7 from both sides.
11x=-11
Subtract 7 from -4 to get -11.
x=\frac{-11}{11}
Divide both sides by 11.
x=-1
Divide -11 by 11 to get -1.