What is the answer to 5/m = 8/(2m-6) ?

The answer to 5/m = 8/(2m-6) is m=15

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5/m = 8/(2m-6)

\frac{5}{m} = \frac{8}{2 m - 6}

m = 15

Solution steps

\frac{5}{m} = \frac{8}{2 m - 6}

Cross multiply

5 m - 15 = m \cdot 4

Move

15

to the right side

5 m = m \cdot 4 + 15

Move

m 4

to the left side

m = 15

Verify Solutions

Find undefined (singularity) points:

m = 0, m = 3

Combine undefined points with solutions:

m = 15

\frac{a}{x - b} + \frac{b}{x - a} = 2

\frac{6}{5 p - 3} = - \frac{5}{2 p - 5}

\frac{6}{x} = \frac{2}{26}

12 x^{- 2} - 16 x^{- 1} + 5 = 0

9 + \frac{2}{v - 1} = - \frac{4}{v - 2}