What is the answer to 6/(x+8)=-3/4 ?

The answer to 6/(x+8)=-3/4 is x=-16

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6/(x+8)=-3/4

\frac{6}{x + 8} = - \frac{3}{4}

x = - 16

Solution steps

\frac{6}{x + 8} = - \frac{3}{4}

Cross multiply

24 = - (x + 8) \cdot 3

Switch sides

- (x + 8) \cdot 3 = 24

Divide both sides by

- 3

x + 8 = - 8

Move

8

to the right side

x = - 16

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = - 16

\frac{55}{x + 6} = x

\frac{11}{x + 3} = 10

\frac{5 x - 3}{x + 4} - \frac{8}{5 x} = 5

- \frac{1}{x ^{2}} + \frac{1}{x} = 0

x + \frac{8}{x - 2} = 1 + \frac{4 x}{x - 2}