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

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

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

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

x = 17

Solution steps

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

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

Combine undefined points with solutions:

x = 17

\frac{14}{x} = 79

\frac{8}{5} = \frac{6}{a}

1 = - \frac{3}{2 a}

\frac{9}{3 x + 1} = \frac{4}{2 x + 1}

x + \frac{4}{x ^{2}} = 0