What is the answer to 8/(3x-4)= 3/(x+5) ?

The answer to 8/(3x-4)= 3/(x+5) is x=52

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8/(3x-4)= 3/(x+5)

\frac{8}{3 x - 4} = \frac{3}{x + 5}

x = 52

Solution steps

\frac{8}{3 x - 4} = \frac{3}{x + 5}

Cross multiply

8 x + 40 = 9 x - 12

Move

40

to the right side

8 x = 9 x - 52

Move

9 x

to the left side

- x = - 52

Divide both sides by

- 1

x = 52

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{3}, x = - 5

Combine undefined points with solutions:

x = 52

\frac{1}{x - 2} = \frac{5}{6}

\frac{4 x - 3}{2 x + 5} = 1

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

\frac{13}{q} = \frac{5}{4}

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

What is the answer to 8/(3x-4)= 3/(x+5) ?
The answer to 8/(3x-4)= 3/(x+5) is x=52
Solve for x: 8/(3x-4)= 3/(x+5)
The solution is x=52