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

The answer to (5x+2)/(x+2)=(7) is x=-6

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

\frac{5 x + 2}{x + 2} = (7)

x = - 6

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 + 12

Move

7 x

to the left side

- 2 x = 12

Divide both sides by

- 2

x = - 6

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 6

\frac{1}{x - 6} = \frac{3}{12 x}

\frac{- x}{3 - x} = \frac{5}{12}

\frac{x}{- 2 ( x + 3 )} = - 2 x - 6

\frac{1}{v + 6} = 4

3 = x^{- 1}