Solve for x
x = \frac{20}{7} = 2\frac{6}{7} \approx 2.857142857
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2x\times 400=\left(x+20\right)\times 100
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.
800x=\left(x+20\right)\times 100
Multiply 2 and 400 to get 800.
800x=100x+2000
Use the distributive property to multiply x+20 by 100.
800x-100x=2000
Subtract 100x from both sides.
700x=2000
Combine 800x and -100x to get 700x.
x=\frac{2000}{700}
Divide both sides by 700.
x=\frac{20}{7}
Reduce the fraction \frac{2000}{700} to lowest terms by extracting and canceling out 100.
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