What is the answer to 2=(x+6)/(x-11) ?

The answer to 2=(x+6)/(x-11) is x=28

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2=(x+6)/(x-11)

2 = \frac{x + 6}{x - 11}

x = 28

Solution steps

2 = \frac{x + 6}{x - 11}

Multiply both sides by

x - 11

2 (x - 11) = x + 6

Expand

2 (x - 11) : 2 x - 22

2 x - 22 = x + 6

Move

22

to the right side

2 x = x + 28

Move

x

to the left side

x = 28

Verify Solutions

Find undefined (singularity) points:

x = 11

Combine undefined points with solutions:

x = 28

\frac{81}{x} + 7 = 16

\frac{12}{x + 3} = 2

y, x = \frac{6 y + 4}{4 y + 5}

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

\frac{4 x}{x} = \frac{10}{4}