Solve for x
x=1
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\left(x+1\right)\times 20=x\times 20\times 2
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.
20x+20=x\times 20\times 2
Use the distributive property to multiply x+1 by 20.
20x+20=x\times 40
Multiply 20 and 2 to get 40.
20x+20-x\times 40=0
Subtract x\times 40 from both sides.
-20x+20=0
Combine 20x and -x\times 40 to get -20x.
-20x=-20
Subtract 20 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-20}{-20}
Divide both sides by -20.
x=1
Divide -20 by -20 to get 1.
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