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x\times 2000=2\left(x+20\right)\times 800
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 2000=1600\left(x+20\right)
Multiply 2 and 800 to get 1600.
x\times 2000=1600x+32000
Use the distributive property to multiply 1600 by x+20.
x\times 2000-1600x=32000
Subtract 1600x from both sides.
400x=32000
Combine x\times 2000 and -1600x to get 400x.
x=\frac{32000}{400}
Divide both sides by 400.
x=80
Divide 32000 by 400 to get 80.