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

The answer to x+4/(x+1)=3 is x=1

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x+4/(x+1)=3

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

x = 1

Solution steps

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

Multiply both sides by

x + 1

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

Solve

x (x + 1) + 4 = 3 (x + 1) : x = 1

x = 1

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 1

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

\frac{x}{x - 6} + 2 = \frac{6}{x - 6}

x, \frac{2 x - 6}{x} = 0

x^{2} - 2 x^{- 1} - 3 = 0

x, \frac{x + y}{x - y} = 0