What is the answer to -4/(x+6)= 1/(4x+24)+2 ?

The answer to -4/(x+6)= 1/(4x+24)+2 is x=-65/8

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-4/(x+6)= 1/(4x+24)+2

- \frac{4}{x + 6} = \frac{1}{4 x + 24} + 2

x = - \frac{65}{8}

Decimal Notation

x = - 8.125

Solution steps

- \frac{4}{x + 6} = \frac{1}{4 x + 24} + 2

Multiply by LCM

- 16 = 1 + 8 (x + 6)

Switch sides

1 + 8 (x + 6) = - 16

Move

1

to the right side

8 (x + 6) = - 17

Divide both sides by

8

x + 6 = - \frac{17}{8}

Move

6

to the right side

x = - \frac{65}{8}

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = - \frac{65}{8}

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

\frac{60}{w - 5} - \frac{18}{w} = \frac{40}{w}

\frac{6}{x ^{2}} - \frac{43}{x} = 15

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

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

What is the answer to -4/(x+6)= 1/(4x+24)+2 ?
The answer to -4/(x+6)= 1/(4x+24)+2 is x=-65/8
Solve for x: -4/(x+6)= 1/(4x+24)+2
The solution is x=-65/8