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x\times 700=\left(x+20\right)\times 500
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+20,x.
x\times 700=500x+10000
Use the distributive property to multiply x+20 by 500.
x\times 700-500x=10000
Subtract 500x from both sides.
200x=10000
Combine x\times 700 and -500x to get 200x.
x=\frac{10000}{200}
Divide both sides by 200.
x=50
Divide 10000 by 200 to get 50.