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

The answer to 8/(3x-4)= 3/(x+4) is x=44

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

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

x = 44

Solution steps

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

Cross multiply

8 x + 32 = 9 x - 12

Move

32

to the right side

8 x = 9 x - 44

Move

9 x

to the left side

- x = - 44

Divide both sides by

- 1

x = 44

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 44

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

\frac{4}{3} = \frac{84 - x}{x}

\frac{x + 2}{x + 6} = \frac{1}{3}

\frac{6}{7} = \frac{5}{x}

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

What is the answer to 8/(3x-4)= 3/(x+4) ?
The answer to 8/(3x-4)= 3/(x+4) is x=44
Solve for x: 8/(3x-4)= 3/(x+4)
The solution is x=44