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20x+15\times 2x-12\times 3x=60
Multiply both sides of the equation by 60, the least common multiple of 3,4,5.
20x+30x-12\times 3x=60
Multiply 15 and 2 to get 30.
50x-12\times 3x=60
Combine 20x and 30x to get 50x.
50x-36x=60
Multiply -12 and 3 to get -36.
14x=60
Combine 50x and -36x to get 14x.
x=\frac{60}{14}
Divide both sides by 14.
x=\frac{30}{7}
Reduce the fraction \frac{60}{14} to lowest terms by extracting and canceling out 2.