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

The answer to 2/(x+3)= 3/(x-2) is x=-13

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

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

x = - 13

Solution steps

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

Cross multiply

2 x - 4 = 3 x + 9

Move

4

to the right side

2 x = 3 x + 13

Move

3 x

to the left side

- x = 13

Divide both sides by

- 1

x = - 13

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 2

Combine undefined points with solutions:

x = - 13

y, y - \frac{2}{x ^{2}} = 0

\frac{4}{x} - \frac{1}{3} = \frac{x}{6}

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

x + \frac{30}{x} = 11

\frac{2}{x ^{3}} - \frac{1}{x ^{2}} = 0

What is the answer to 2/(x+3)= 3/(x-2) ?
The answer to 2/(x+3)= 3/(x-2) is x=-13
Solve for x: 2/(x+3)= 3/(x-2)
The solution is x=-13