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

The answer to (x-6)/(x+2)=2 is x=-10

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

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

x = - 10

Solution steps

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

Multiply both sides by

x + 2

x - 6 = 2 (x + 2)

Expand

2 (x + 2) : 2 x + 4

x - 6 = 2 x + 4

Move

6

to the right side

x = 2 x + 10

Move

2 x

to the left side

- x = 10

Divide both sides by

- 1

x = - 10

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 10

\frac{4}{x} = 5

\frac{x ^{2} - 4 x}{( x - 2 ) ^{2}} = 0

\frac{5}{x + 2} + \frac{3}{5 x + 3} = 0

\frac{- 2 x ^{2} + 5 x - 1}{2 x - 1} = 0

\frac{5 x}{x + 2} = \frac{3 x}{x + 1}