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\left(x+1\right)\times 960=x\times 1000
Variable x cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+1\right), the least common multiple of x,x+1.
960x+960=x\times 1000
Use the distributive property to multiply x+1 by 960.
960x+960-x\times 1000=0
Subtract x\times 1000 from both sides.
-40x+960=0
Combine 960x and -x\times 1000 to get -40x.
-40x=-960
Subtract 960 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-960}{-40}
Divide both sides by -40.
x=24
Divide -960 by -40 to get 24.