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

The answer to 2/(x-2)= 5/(x+3) is x= 16/3

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

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

x = \frac{16}{3}

Solution steps

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

Cross multiply

2 x + 6 = 5 x - 10

Move

6

to the right side

2 x = 5 x - 16

Move

5 x

to the left side

- 3 x = - 16

Divide both sides by

- 3

x = \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 3

Combine undefined points with solutions:

x = \frac{16}{3}

y, x = \frac{y + 2}{y - 2}

\frac{36}{b} = 1.3

\frac{12}{6} = \frac{8}{x}

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

\frac{7}{d + 5} = \frac{10}{d + 2}

What is the answer to 2/(x-2)= 5/(x+3) ?
The answer to 2/(x-2)= 5/(x+3) is x= 16/3
Solve for x: 2/(x-2)= 5/(x+3)
The solution is x= 16/3