What is the answer to (33-x)/(5x)=2 ?

The answer to (33-x)/(5x)=2 is x=3

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(33-x)/(5x)=2

\frac{33 - x}{5 x} = 2

x = 3

Solution steps

\frac{33 - x}{5 x} = 2

Multiply both sides by

x

\frac{33 - x}{5} = 2 x

Multiply both sides by

5

33 - x = 10 x

Move

33

to the right side

- x = 10 x - 33

Move

10 x

to the left side

- 11 x = - 33

Divide both sides by

- 11

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3

\frac{3}{x} - \frac{1}{3} = 6

\frac{6}{x} + \frac{8}{x + 5} = 3

\frac{a x + b}{c x + d} = 6

\frac{3}{4} = \frac{21}{x}

\frac{4}{x} = \frac{14}{5 x} + 2