What is the answer to 1/(x+7)+1=-x/(x+7) ?

The answer to 1/(x+7)+1=-x/(x+7) is x=-4

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1/(x+7)+1=-x/(x+7)

\frac{1}{x + 7} + 1 = - \frac{x}{x + 7}

x = - 4

Solution steps

\frac{1}{x + 7} + 1 = - \frac{x}{x + 7}

Multiply both sides by

x + 7

x + 8 = - x

Move

8

to the right side

x = - x - 8

Move

x

to the left side

2 x = - 8

Divide both sides by

2

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = - 4

\frac{2 x + 2}{x - 1} - \frac{6}{x} = 2

- \frac{9}{x} + 2 x = - 7

0 = 1 - \frac{2 \cdot 1}{x}

x + \frac{9}{x} = - 10

\frac{u + 2}{3 u - 1} + 1 = \frac{6 - u}{u + 1}

What is the answer to 1/(x+7)+1=-x/(x+7) ?
The answer to 1/(x+7)+1=-x/(x+7) is x=-4
Solve for x: 1/(x+7)+1=-x/(x+7)
The solution is x=-4