What is the answer to 1+7/(x+5)=-x/(x+5) ?

The answer to 1+7/(x+5)=-x/(x+5) is x=-6

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1+7/(x+5)=-x/(x+5)

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

x = - 6

Solution steps

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

Multiply both sides by

x + 5

x + 12 = - x

Move

12

to the right side

x = - x - 12

Move

x

to the left side

2 x = - 12

Divide both sides by

2

x = - 6

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - 6

\frac{4}{5 a - 8} = a + 2

\frac{11}{x} - 2 = \frac{3}{x}

- 5 = \frac{5 - 2 x}{x ^{2} - 1}

\frac{1}{2} = \frac{4}{x}

- \frac{4 x}{( x ^{2} - 1 ) ^{2}} = 0

What is the answer to 1+7/(x+5)=-x/(x+5) ?
The answer to 1+7/(x+5)=-x/(x+5) is x=-6
Solve for x: 1+7/(x+5)=-x/(x+5)
The solution is x=-6