What is the answer to (x-6)/(x+9)= 5/8 ?

The answer to (x-6)/(x+9)= 5/8 is x=31

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(x-6)/(x+9)= 5/8

\frac{x - 6}{x + 9} = \frac{5}{8}

x = 31

Solution steps

\frac{x - 6}{x + 9} = \frac{5}{8}

Cross multiply

8 x - 48 = 5 x + 45

Move

48

to the right side

8 x = 5 x + 93

Move

5 x

to the left side

3 x = 93

Divide both sides by

3

x = 31

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = 31

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

g, g^{- 1} (4 k) = k + 1

m, P = \frac{RT}{mV}