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\left(x+8\right)\times 12=24x
Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by 24\left(x+8\right), the least common multiple of 24,x+8.
12x+96=24x
Use the distributive property to multiply x+8 by 12.
12x+96-24x=0
Subtract 24x from both sides.
-12x+96=0
Combine 12x and -24x to get -12x.
-12x=-96
Subtract 96 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-96}{-12}
Divide both sides by -12.
x=8
Divide -96 by -12 to get 8.