What is the answer to 4/(x+3)= 3/(x-2) ?

The answer to 4/(x+3)= 3/(x-2) is x=17

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

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

x = 17

Solution steps

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

Cross multiply

4 x - 8 = 3 x + 9

Move

8

to the right side

4 x = 3 x + 17

Move

3 x

to the left side

x = 17

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 2

Combine undefined points with solutions:

x = 17

\frac{1}{x} = x

\frac{1}{x} = 3

\frac{x - 6}{x + 9} = \frac{5}{8}

t + 1 + \frac{1}{t} = 0

\frac{21}{8.1} = \frac{105}{m}