What is the answer to 8/(5x-4)= 6/(x+5) ?

The answer to 8/(5x-4)= 6/(x+5) is x= 32/11

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8/(5x-4)= 6/(x+5)

\frac{8}{5 x - 4} = \frac{6}{x + 5}

x = \frac{32}{11}

Solution steps

\frac{8}{5 x - 4} = \frac{6}{x + 5}

Cross multiply

8 x + 40 = 30 x - 24

Move

40

to the right side

8 x = 30 x - 64

Move

30 x

to the left side

- 22 x = - 64

Divide both sides by

- 22

x = \frac{32}{11}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{5}, x = - 5

Combine undefined points with solutions:

x = \frac{32}{11}

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

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

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

\frac{56}{x} = \frac{8}{7}

\frac{10}{a - 6} = \frac{5}{6}

What is the answer to 8/(5x-4)= 6/(x+5) ?
The answer to 8/(5x-4)= 6/(x+5) is x= 32/11
Solve for x: 8/(5x-4)= 6/(x+5)
The solution is x= 32/11