What is the answer to 6/(2m+7)=(10)/(3m-8) ?

The answer to 6/(2m+7)=(10)/(3m-8) is m=-59

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6/(2m+7)=(10)/(3m-8)

\frac{6}{2 m + 7} = \frac{10}{3 m - 8}

m = - 59

Solution steps

\frac{6}{2 m + 7} = \frac{10}{3 m - 8}

Cross multiply

18 m - 48 = 20 m + 70

Move

48

to the right side

18 m = 20 m + 118

Move

20 m

to the left side

- 2 m = 118

Divide both sides by

- 2

m = - 59

Verify Solutions

Find undefined (singularity) points:

m = - \frac{7}{2}, m = \frac{8}{3}

Combine undefined points with solutions:

m = - 59

\frac{10}{x + 18} = \frac{x + 1}{6}

4 + \frac{3}{x + 1} = \frac{3}{5}

\frac{x ^{2}}{x + 20} = 10

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

x^{2} + x + \frac{50}{x} = 0

What is the answer to 6/(2m+7)=(10)/(3m-8) ?
The answer to 6/(2m+7)=(10)/(3m-8) is m=-59
Solve for m: 6/(2m+7)=(10)/(3m-8)
The solution is m=-59