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\left(x-8\right)\times 3=x\times 9
Variable x cannot be equal to any of the values 0,8 since division by zero is not defined. Multiply both sides of the equation by x\left(x-8\right), the least common multiple of x,x-8.
3x-24=x\times 9
Use the distributive property to multiply x-8 by 3.
3x-24-x\times 9=0
Subtract x\times 9 from both sides.
-6x-24=0
Combine 3x and -x\times 9 to get -6x.
-6x=24
Add 24 to both sides. Anything plus zero gives itself.
x=\frac{24}{-6}
Divide both sides by -6.
x=-4
Divide 24 by -6 to get -4.