What is the answer to 4/(x+2)= 3/(x-5) ?

The answer to 4/(x+2)= 3/(x-5) is x=26

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

\frac{4}{x + 2} = \frac{3}{x - 5}

x = 26

Solution steps

\frac{4}{x + 2} = \frac{3}{x - 5}

Cross multiply

4 x - 20 = 3 x + 6

Move

20

to the right side

4 x = 3 x + 26

Move

3 x

to the left side

x = 26

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 5

Combine undefined points with solutions:

x = 26

\frac{3}{x - 7} + \frac{4}{x + 2} = 1

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

(k + \frac{1}{k})^{2} = 16

x^{- a} = \frac{1}{x ^{a}}

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