What is the answer to (10)/(x+6)=-5/3 ?

The answer to (10)/(x+6)=-5/3 is x=-12

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(10)/(x+6)=-5/3

\frac{10}{x + 6} = - \frac{5}{3}

x = - 12

Solution steps

\frac{10}{x + 6} = - \frac{5}{3}

Cross multiply

30 = - (x + 6) \cdot 5

Switch sides

- (x + 6) \cdot 5 = 30

Divide both sides by

- 5

x + 6 = - 6

Move

6

to the right side

x = - 12

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = - 12

\frac{4}{x - 7} = \frac{- 2 x}{x + 3}

\frac{4 x}{x ^{2} - 9} = \frac{8}{x - 3}

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

4 - \frac{1}{t} - \frac{3}{t ^{2}} = 0

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