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

The answer to 3/(x-2)= 2/(x+5) is x=-19

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

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

x = - 19

Solution steps

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

Cross multiply

3 x + 15 = 2 x - 4

Move

15

to the right side

3 x = 2 x - 19

Move

2 x

to the left side

x = - 19

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 5

Combine undefined points with solutions:

x = - 19

\frac{15}{8 x - 3} = \frac{1}{2 + 2 x}

a, \frac{m}{a} = n - p

\frac{x ^{2} - 9 x + 14}{4 x} = 0

\frac{- 2}{( x + 2 )} = 2

- \frac{1}{x} = - \frac{6}{x + 1}

What is the answer to 3/(x-2)= 2/(x+5) ?
The answer to 3/(x-2)= 2/(x+5) is x=-19
Solve for x: 3/(x-2)= 2/(x+5)
The solution is x=-19