What is the answer to (40)/(x+2)-15=-7 ?

The answer to (40)/(x+2)-15=-7 is x=3

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(40)/(x+2)-15=-7

\frac{40}{x + 2} - 15 = - 7

x = 3

Solution steps

\frac{40}{x + 2} - 15 = - 7

Move

15

to the right side

\frac{40}{x + 2} = 8

Multiply both sides by

x + 2

40 = 8 (x + 2)

Switch sides

8 (x + 2) = 40

Divide both sides by

8

x + 2 = 5

Move

2

to the right side

x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 3

\frac{1}{x} = 3.5

\frac{5}{13} = \frac{65}{x}

6 = \frac{1}{1 - \frac{1}{8} x}

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

\frac{2 p}{p - 1} = 3 + \frac{2}{p - 1}