What is the answer to 0=x+9/(x+1)-5 ?

The answer to 0=x+9/(x+1)-5 is x=2

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0=x+9/(x+1)-5

0 = x + \frac{9}{x + 1} - 5

x = 2

Solution steps

0 = x + \frac{9}{x + 1} - 5

Move

5

to the left side

5 = x + \frac{9}{x + 1}

Multiply both sides by

x + 1

5 (x + 1) = x (x + 1) + 9

Solve

5 (x + 1) = x (x + 1) + 9 : x = 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 2

a, c = \frac{a}{a + b}

y, \frac{y + 1}{y} = x

\frac{8}{x} = \frac{x}{4}

\frac{3}{5 x} = 6

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