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\left(x+12\right)\times 720=x\times \frac{200}{10}
Variable x cannot be equal to any of the values -12,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+12\right), the least common multiple of x,x+12.
720x+8640=x\times \frac{200}{10}
Use the distributive property to multiply x+12 by 720.
720x+8640=x\times 20
Divide 200 by 10 to get 20.
720x+8640-x\times 20=0
Subtract x\times 20 from both sides.
700x+8640=0
Combine 720x and -x\times 20 to get 700x.
700x=-8640
Subtract 8640 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-8640}{700}
Divide both sides by 700.
x=-\frac{432}{35}
Reduce the fraction \frac{-8640}{700} to lowest terms by extracting and canceling out 20.