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\left(x+4\right)\times 96=x\times 128
Variable x cannot be equal to any of the values -4,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+4\right), the least common multiple of x,x+4.
96x+384=x\times 128
Use the distributive property to multiply x+4 by 96.
96x+384-x\times 128=0
Subtract x\times 128 from both sides.
-32x+384=0
Combine 96x and -x\times 128 to get -32x.
-32x=-384
Subtract 384 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-384}{-32}
Divide both sides by -32.
x=12
Divide -384 by -32 to get 12.