What is the answer to 5/(2x-3)= 3/(x+5) ?

The answer to 5/(2x-3)= 3/(x+5) is x=34

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5/(2x-3)= 3/(x+5)

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

x = 34

Solution steps

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

Cross multiply

5 x + 25 = 6 x - 9

Move

25

to the right side

5 x = 6 x - 34

Move

6 x

to the left side

- x = - 34

Divide both sides by

- 1

x = 34

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}, x = - 5

Combine undefined points with solutions:

x = 34

x + \frac{1}{x} + 2 = 0

\frac{2}{x} + \frac{1}{2 x} = 7

m, \frac{r + 5}{mn} = p

\frac{8}{x} = 4

4 = \frac{6}{x}

What is the answer to 5/(2x-3)= 3/(x+5) ?
The answer to 5/(2x-3)= 3/(x+5) is x=34
Solve for x: 5/(2x-3)= 3/(x+5)
The solution is x=34