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

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

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

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

x = 4

Solution steps

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

Multiply both sides by

x - 2

2 x + 2 = 5 (x - 2)

Expand

5 (x - 2) : 5 x - 10

2 x + 2 = 5 x - 10

Move

2

to the right side

2 x = 5 x - 12

Move

5 x

to the left side

- 3 x = - 12

Divide both sides by

- 3

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 4

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

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

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

\frac{8}{x + 2} = \frac{2}{x - 4}

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