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12x+3\times 3x=120-2\times 4x
Multiply both sides of the equation by 6, the least common multiple of 2,3.
12x+9x=120-2\times 4x
Multiply 3 and 3 to get 9.
21x=120-2\times 4x
Combine 12x and 9x to get 21x.
21x=120-8x
Multiply -2 and 4 to get -8.
21x+8x=120
Add 8x to both sides.
29x=120
Combine 21x and 8x to get 29x.
x=\frac{120}{29}
Divide both sides by 29.