What is the answer to 3/(x+1)= 2/(x+3) ?

The answer to 3/(x+1)= 2/(x+3) is x=-7

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3/(x+1)= 2/(x+3)

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

x = - 7

Solution steps

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

Cross multiply

3 x + 9 = 2 x + 2

Move

9

to the right side

3 x = 2 x - 7

Move

2 x

to the left side

x = - 7

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = - 3

Combine undefined points with solutions:

x = - 7

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

\frac{1}{x ^{2}} + \frac{8}{x} + 15 = 0

80 x - \frac{360}{x ^{2}} = 0

\frac{19}{4 a} - \frac{2}{a} = 1

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