What is the answer to (3x-1)/(x+4)-6=(2x+15)/(x+4) ?

The answer to (3x-1)/(x+4)-6=(2x+15)/(x+4) is x=-8

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(3x-1)/(x+4)-6=(2x+15)/(x+4)

\frac{3 x - 1}{x + 4} - 6 = \frac{2 x + 15}{x + 4}

x = - 8

Solution steps

\frac{3 x - 1}{x + 4} - 6 = \frac{2 x + 15}{x + 4}

Multiply both sides by

x + 4

3 x - 1 - 6 (x + 4) = 2 x + 15

Expand

3 x - 1 - 6 (x + 4) : - 3 x - 25

- 3 x - 25 = 2 x + 15

Move

25

to the right side

- 3 x = 2 x + 40

Move

2 x

to the left side

- 5 x = 40

Divide both sides by

- 5

x = - 8

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - 8

\frac{6}{x} = \frac{10}{7}

\frac{15}{x} - \frac{11 x + 5}{x ^{2}} = - 1

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

\frac{4}{x - 1} + x = 7

\frac{5}{x + 4} - 2 = \frac{7 x + 18}{x + 4}

What is the answer to (3x-1)/(x+4)-6=(2x+15)/(x+4) ?
The answer to (3x-1)/(x+4)-6=(2x+15)/(x+4) is x=-8
Solve for x: (3x-1)/(x+4)-6=(2x+15)/(x+4)
The solution is x=-8