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5x+3x-6x=60
Multiply both sides of the equation by 60, the least common multiple of 12,20,10.
8x-6x=60
Combine 5x and 3x to get 8x.
2x=60
Combine 8x and -6x to get 2x.
x=\frac{60}{2}
Divide both sides by 2.
x=30
Divide 60 by 2 to get 30.