\frac { x } { ( 55 - x ) } = 10 \%
Solve for x
x=5
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-100x=\left(x-55\right)\times 10
Variable x cannot be equal to 55 since division by zero is not defined. Multiply both sides of the equation by 100\left(x-55\right), the least common multiple of 55-x,100.
-100x=10x-550
Use the distributive property to multiply x-55 by 10.
-100x-10x=-550
Subtract 10x from both sides.
-110x=-550
Combine -100x and -10x to get -110x.
x=\frac{-550}{-110}
Divide both sides by -110.
x=5
Divide -550 by -110 to get 5.
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