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x\times 720=\left(x+1\right)\times 120
Variable x cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+1\right), the least common multiple of x+1,x.
x\times 720=120x+120
Use the distributive property to multiply x+1 by 120.
x\times 720-120x=120
Subtract 120x from both sides.
600x=120
Combine x\times 720 and -120x to get 600x.
x=\frac{120}{600}
Divide both sides by 600.
x=\frac{1}{5}
Reduce the fraction \frac{120}{600} to lowest terms by extracting and canceling out 120.