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

The answer to (x+2)/(x-6)=2 is x=14

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

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

x = 14

Solution steps

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

Multiply both sides by

x - 6

x + 2 = 2 (x - 6)

Expand

2 (x - 6) : 2 x - 12

x + 2 = 2 x - 12

Move

2

to the right side

x = 2 x - 14

Move

2 x

to the left side

- x = - 14

Divide both sides by

- 1

x = 14

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = 14

7 + \frac{6}{x} = 1

\frac{x \frac{3}{2}}{x - 6} = x - 8

r, S = \frac{a - l r}{1 - r}

\frac{7}{x - 1} = \frac{13}{x + 6}

a, g = \frac{b}{c a}