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

The answer to (x-3)/(x+2)= 3/4 is x=18

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

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

x = 18

Solution steps

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

Cross multiply

4 x - 12 = 3 x + 6

Move

12

to the right side

4 x = 3 x + 18

Move

3 x

to the left side

x = 18

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 18

\frac{- 12 x + 20}{( x + 3 ) ( x - 4 )} = 0

\frac{2}{x - 1} - \frac{6}{2 x + 1} = 5

7 - \frac{2}{x} = 4 + \frac{10}{x}

\frac{x}{x + 3} + \frac{5}{x + 4} = 0

6 - \frac{1}{x} = \frac{1}{x ^{2}}