What is the answer to (x-5)/(x+1)= 3/5 ?

The answer to (x-5)/(x+1)= 3/5 is x=14

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(x-5)/(x+1)= 3/5

\frac{x - 5}{x + 1} = \frac{3}{5}

x = 14

Solution steps

\frac{x - 5}{x + 1} = \frac{3}{5}

Cross multiply

5 x - 25 = 3 x + 3

Move

25

to the right side

5 x = 3 x + 28

Move

3 x

to the left side

2 x = 28

Divide both sides by

2

x = 14

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 14

\frac{8 x ^{2} - 2 + 3 x}{2 x - 1} = 4 x

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

\frac{2}{x ^{3}} = 0

\frac{3}{16 y} = \frac{1}{y + 13}

\frac{2}{3 x + 4} - 1 = \frac{5}{2}