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2\left(x-4\right)-3x=-12
Multiply both sides of the equation by 12, the least common multiple of 6,4.
2x-8-3x=-12
Use the distributive property to multiply 2 by x-4.
-x-8=-12
Combine 2x and -3x to get -x.
-x=-12+8
Add 8 to both sides.
-x=-4
Add -12 and 8 to get -4.
x=4
Multiply both sides by -1.