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\left(x+9\right)\times 12=x\times 48
Variable x cannot be equal to any of the values -9,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+9\right), the least common multiple of x,x+9.
12x+108=x\times 48
Use the distributive property to multiply x+9 by 12.
12x+108-x\times 48=0
Subtract x\times 48 from both sides.
-36x+108=0
Combine 12x and -x\times 48 to get -36x.
-36x=-108
Subtract 108 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-108}{-36}
Divide both sides by -36.
x=3
Divide -108 by -36 to get 3.