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12x+35+3x=600
Multiply both sides of the equation by 60, the least common multiple of 5,12,20.
15x+35=600
Combine 12x and 3x to get 15x.
15x=600-35
Subtract 35 from both sides.
15x=565
Subtract 35 from 600 to get 565.
x=\frac{565}{15}
Divide both sides by 15.
x=\frac{113}{3}
Reduce the fraction \frac{565}{15} to lowest terms by extracting and canceling out 5.