Solve for x
x=\frac{3}{8}=0.375
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\frac{33-x}{91-x}=\frac{36}{100}
Divide both sides by 100.
\frac{33-x}{91-x}=\frac{9}{25}
Reduce the fraction \frac{36}{100} to lowest terms by extracting and canceling out 4.
-25\left(33-x\right)=9\left(x-91\right)
Variable x cannot be equal to 91 since division by zero is not defined. Multiply both sides of the equation by 25\left(x-91\right), the least common multiple of 91-x,25.
-825+25x=9\left(x-91\right)
Use the distributive property to multiply -25 by 33-x.
-825+25x=9x-819
Use the distributive property to multiply 9 by x-91.
-825+25x-9x=-819
Subtract 9x from both sides.
-825+16x=-819
Combine 25x and -9x to get 16x.
16x=-819+825
Add 825 to both sides.
16x=6
Add -819 and 825 to get 6.
x=\frac{6}{16}
Divide both sides by 16.
x=\frac{3}{8}
Reduce the fraction \frac{6}{16} to lowest terms by extracting and canceling out 2.
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