What is the answer to (5x-2)/(x+2)=7 ?

The answer to (5x-2)/(x+2)=7 is x=-8

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(5x-2)/(x+2)=7

\frac{5 x - 2}{x + 2} = 7

x = - 8

Solution steps

\frac{5 x - 2}{x + 2} = 7

Multiply both sides by

x + 2

5 x - 2 = 7 (x + 2)

Expand

7 (x + 2) : 7 x + 14

5 x - 2 = 7 x + 14

Move

2

to the right side

5 x = 7 x + 16

Move

7 x

to the left side

- 2 x = 16

Divide both sides by

- 2

x = - 8

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 8

a, \frac{4 d}{a} - 9 = g

\frac{2 x - 7}{x} = \frac{x - 2}{5}

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

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

\frac{5}{x + 4} = \frac{9}{x - 8}