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12x-4\times 2x-3\times 3x+72x=120
Multiply both sides of the equation by 12, the least common multiple of 3,4.
12x-8x-3\times 3x+72x=120
Multiply -4 and 2 to get -8.
4x-3\times 3x+72x=120
Combine 12x and -8x to get 4x.
4x-9x+72x=120
Multiply -3 and 3 to get -9.
-5x+72x=120
Combine 4x and -9x to get -5x.
67x=120
Combine -5x and 72x to get 67x.
x=\frac{120}{67}
Divide both sides by 67.