What is the answer to -6-6/(x+5)=(6x)/(x+5) ?

The answer to -6-6/(x+5)=(6x)/(x+5) is x=-3

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-6-6/(x+5)=(6x)/(x+5)

- 6 - \frac{6}{x + 5} = \frac{6 x}{x + 5}

x = - 3

Solution steps

- 6 - \frac{6}{x + 5} = \frac{6 x}{x + 5}

Multiply both sides by

x + 5

- 6 (x + 5) - 6 = 6 x

Expand

- 6 (x + 5) - 6 : - 6 x - 36

- 6 x - 36 = 6 x

Move

36

to the right side

- 6 x = 6 x + 36

Move

6 x

to the left side

- 12 x = 36

Divide both sides by

- 12

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - 3

2 x - 9 = \frac{5}{x}

8 x - \frac{9}{x} = 1

\frac{6}{x + 16} = \frac{7}{3 x + 3}

\frac{7}{x - 3} = \frac{7}{3}

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

What is the answer to -6-6/(x+5)=(6x)/(x+5) ?
The answer to -6-6/(x+5)=(6x)/(x+5) is x=-3
Solve for x: -6-6/(x+5)=(6x)/(x+5)
The solution is x=-3