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2x\times 400=\left(x+20\right)\times 160
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 2x\left(x+20\right), the least common multiple of x+20,2x.
800x=\left(x+20\right)\times 160
Multiply 2 and 400 to get 800.
800x=160x+3200
Use the distributive property to multiply x+20 by 160.
800x-160x=3200
Subtract 160x from both sides.
640x=3200
Combine 800x and -160x to get 640x.
x=\frac{3200}{640}
Divide both sides by 640.
x=5
Divide 3200 by 640 to get 5.