What is the answer to (x+6)/(x-2)=5 ?

The answer to (x+6)/(x-2)=5 is x=4

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(x+6)/(x-2)=5

\frac{x + 6}{x - 2} = 5

x = 4

Solution steps

\frac{x + 6}{x - 2} = 5

Multiply both sides by

x - 2

x + 6 = 5 (x - 2)

Expand

5 (x - 2) : 5 x - 10

x + 6 = 5 x - 10

Move

6

to the right side

x = 5 x - 16

Move

5 x

to the left side

- 4 x = - 16

Divide both sides by

- 4

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 4

y, x = \frac{y}{y ^{2} + 1}

\frac{x - 2248.1}{x} = \frac{2}{5}

\frac{6}{y + 1} = \frac{4}{8}

14 = \frac{12.5}{( 1 - x )}

\frac{1}{x + 3} + 5 = \frac{21}{x + 3}