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4x-60=-5x
Multiply both sides of the equation by 20, the least common multiple of 5,4.
4x-60+5x=0
Add 5x to both sides.
9x-60=0
Combine 4x and 5x to get 9x.
9x=60
Add 60 to both sides. Anything plus zero gives itself.
x=\frac{60}{9}
Divide both sides by 9.
x=\frac{20}{3}
Reduce the fraction \frac{60}{9} to lowest terms by extracting and canceling out 3.