What is the answer to 2=(x+2)/(x-11) ?

The answer to 2=(x+2)/(x-11) is x=24

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2=(x+2)/(x-11)

2 = \frac{x + 2}{x - 11}

x = 24

Solution steps

2 = \frac{x + 2}{x - 11}

Multiply both sides by

x - 11

2 (x - 11) = x + 2

Expand

2 (x - 11) : 2 x - 22

2 x - 22 = x + 2

Move

22

to the right side

2 x = x + 24

Move

x

to the left side

x = 24

Verify Solutions

Find undefined (singularity) points:

x = 11

Combine undefined points with solutions:

x = 24

\frac{24}{s} = - 4

\frac{2}{x} = 8 x

\frac{- 12}{7 x} = 1 + \frac{x}{7}

\frac{4}{5} = \frac{3}{x}

24 x - 55 = \frac{24}{x}