What is the answer to (-6)/(m-5)=(-2)/(m+3) ?

The answer to (-6)/(m-5)=(-2)/(m+3) is m=-7

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(-6)/(m-5)=(-2)/(m+3)

\frac{- 6}{m - 5} = \frac{- 2}{m + 3}

m = - 7

Solution steps

\frac{- 6}{m - 5} = \frac{- 2}{m + 3}

Cross multiply

- 6 m - 18 = - 2 m + 10

Move

18

to the right side

- 6 m = - 2 m + 28

Move

2 m

to the left side

- 4 m = 28

Divide both sides by

- 4

m = - 7

Verify Solutions

Find undefined (singularity) points:

m = 5, m = - 3

Combine undefined points with solutions:

m = - 7

\frac{2}{x + 2} + 4 = \frac{14}{x + 2}

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

\frac{x - 2}{6 x} = \frac{x + 3}{5 x}

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

\frac{1}{3 x} + 4 = 7

What is the answer to (-6)/(m-5)=(-2)/(m+3) ?
The answer to (-6)/(m-5)=(-2)/(m+3) is m=-7
Solve for m: (-6)/(m-5)=(-2)/(m+3)
The solution is m=-7