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

The answer to (x-3)/(x+4)= 4/5 is x=31

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

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

x = 31

Solution steps

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

Cross multiply

5 x - 15 = 4 x + 16

Move

15

to the right side

5 x = 4 x + 31

Move

4 x

to the left side

x = 31

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = 31

0.2 = \frac{x ^{2}}{65 - x}

x - 2 - \frac{x ^{2} - 3 x + 2}{x - 1} = 0

0.2 = \frac{x ^{2}}{15 - x}

\frac{w - 2}{w} = \frac{3}{6}

\frac{x - 6}{x} = \frac{x + 4}{x} + 1