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

The answer to 6=(x+6)/(x-2) is x= 18/5

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

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

x = \frac{18}{5}

Decimal Notation

x = 3.6

Solution steps

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

Multiply both sides by

x - 2

6 (x - 2) = x + 6

Expand

6 (x - 2) : 6 x - 12

6 x - 12 = x + 6

Move

12

to the right side

6 x = x + 18

Move

x

to the left side

5 x = 18

Divide both sides by

5

x = \frac{18}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{18}{5}

x \cdot y = \frac{x}{\frac{1}{y}}

\frac{2}{u - 5} - \frac{6}{u - 5} = 4

- \frac{5}{6 r} = - \frac{10}{3}

\frac{2 x + 1}{x - 1} = 0

\frac{2 x + 1}{x - 1} = 3