What is the answer to (2x+2)/(x-2)=3 ?

The answer to (2x+2)/(x-2)=3 is x=8

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(2x+2)/(x-2)=3

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

x = 8

Solution steps

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

Multiply both sides by

x - 2

2 x + 2 = 3 (x - 2)

Expand

3 (x - 2) : 3 x - 6

2 x + 2 = 3 x - 6

Move

2

to the right side

2 x = 3 x - 8

Move

3 x

to the left side

- x = - 8

Divide both sides by

- 1

x = 8

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 8

\frac{4}{y} = \frac{1}{3}

1 - \frac{2}{m} = \frac{8}{m ^{2}}

2 x - 6 = \frac{7}{x}

\frac{3}{1 - x} = \frac{4}{2 x + 3}

\frac{x + 3}{9} - \frac{6 - x}{x} = 1