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4\times 2x+3\times 2x-120=0
Multiply both sides of the equation by 12, the least common multiple of 3,4.
8x+3\times 2x-120=0
Multiply 4 and 2 to get 8.
8x+6x-120=0
Multiply 3 and 2 to get 6.
14x-120=0
Combine 8x and 6x to get 14x.
14x=120
Add 120 to both sides. Anything plus zero gives itself.
x=\frac{120}{14}
Divide both sides by 14.
x=\frac{60}{7}
Reduce the fraction \frac{120}{14} to lowest terms by extracting and canceling out 2.