What is the answer to 4+3/(x+1)= 3/5 ?

The answer to 4+3/(x+1)= 3/5 is x=-32/17

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4+3/(x+1)= 3/5

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

x = - \frac{32}{17}

Solution steps

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

Multiply by LCM

20 x + 35 = 3 x + 3

Move

35

to the right side

20 x = 3 x - 32

Move

3 x

to the left side

17 x = - 32

Divide both sides by

17

x = - \frac{32}{17}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{32}{17}

\frac{x ^{2}}{x + 20} = 10

\frac{2}{x - 1} = 0

x^{2} + x + \frac{50}{x} = 0

\frac{9}{3} = \frac{3}{x - 1}

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