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

The answer to 4/(x+2)= 3/(x-2) is x=14

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

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

x = 14

Solution steps

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

Cross multiply

4 x - 8 = 3 x + 6

Move

8

to the right side

4 x = 3 x + 14

Move

3 x

to the left side

x = 14

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 2

Combine undefined points with solutions:

x = 14

\frac{5}{x} = - \frac{4}{x - 5}

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

\frac{( a x + b )}{c x + d} = 9

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

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