What is the answer to 5/(4-m)=-3/(m+2) ?

The answer to 5/(4-m)=-3/(m+2) is m=-11

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5/(4-m)=-3/(m+2)

\frac{5}{4 - m} = - \frac{3}{m + 2}

m = - 11

Solution steps

\frac{5}{4 - m} = - \frac{3}{m + 2}

Cross multiply

5 m + 10 = - 12 + 3 m

Move

10

to the right side

5 m = 3 m - 22

Move

3 m

to the left side

2 m = - 22

Divide both sides by

2

m = - 11

Verify Solutions

Find undefined (singularity) points:

m = 4, m = - 2

Combine undefined points with solutions:

m = - 11

\frac{x ^{2} + x - 30}{x - 5} = x + 6

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

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

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

\frac{18}{x} = 2

What is the answer to 5/(4-m)=-3/(m+2) ?
The answer to 5/(4-m)=-3/(m+2) is m=-11
Solve for m: 5/(4-m)=-3/(m+2)
The solution is m=-11