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\left(x+10\right)\times 160=x\times 240
Variable x cannot be equal to any of the values -10,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+10\right), the least common multiple of x,x+10.
160x+1600=x\times 240
Use the distributive property to multiply x+10 by 160.
160x+1600-x\times 240=0
Subtract x\times 240 from both sides.
-80x+1600=0
Combine 160x and -x\times 240 to get -80x.
-80x=-1600
Subtract 1600 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1600}{-80}
Divide both sides by -80.
x=20
Divide -1600 by -80 to get 20.