What is the answer to (11x-33)/(x-3)=x ?

The answer to (11x-33)/(x-3)=x is x=11

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(11x-33)/(x-3)=x

\frac{11 x - 33}{x - 3} = x

x = 11

Solution steps

\frac{11 x - 33}{x - 3} = x

Simplify

\frac{11 x - 33}{x - 3} : 11

11 = x

Switch sides

x = 11

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 11

\frac{4}{3} = \frac{1}{x}

\frac{2.25}{x} = \frac{x}{1.68}

\frac{a - b}{b} = \frac{a - x}{x}

x + \frac{12}{x} = - 7

\frac{x - 55}{x} = \frac{31}{100}