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

The answer to 5/(3x-2)= 2/(x+5) is x=29

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

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

x = 29

Solution steps

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

Cross multiply

5 x + 25 = 6 x - 4

Move

25

to the right side

5 x = 6 x - 29

Move

6 x

to the left side

- x = - 29

Divide both sides by

- 1

x = 29

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 29

\frac{3 x + 7}{x + 2} = 5

\frac{x + 9}{x - 1} = \frac{4}{x}

3 - \frac{1}{t} = \frac{2}{t ^{2}}

\frac{3}{x} + 6 = - 8

\frac{25}{x} = \frac{1}{4}

What is the answer to 5/(3x-2)= 2/(x+5) ?
The answer to 5/(3x-2)= 2/(x+5) is x=29
Solve for x: 5/(3x-2)= 2/(x+5)
The solution is x=29