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x\times 120=\left(x+8\right)\times 90
Variable x cannot be equal to any of the values -8,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+8\right), the least common multiple of 8+x,x.
x\times 120=90x+720
Use the distributive property to multiply x+8 by 90.
x\times 120-90x=720
Subtract 90x from both sides.
30x=720
Combine x\times 120 and -90x to get 30x.
x=\frac{720}{30}
Divide both sides by 30.
x=24
Divide 720 by 30 to get 24.