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\left(x+20\right)\times 5=x\times 15
Variable x cannot be equal to any of the values -20,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+20\right), the least common multiple of x,x+20.
5x+100=x\times 15
Use the distributive property to multiply x+20 by 5.
5x+100-x\times 15=0
Subtract x\times 15 from both sides.
-10x+100=0
Combine 5x and -x\times 15 to get -10x.
-10x=-100
Subtract 100 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-100}{-10}
Divide both sides by -10.
x=10
Divide -100 by -10 to get 10.