What is the answer to 3+1/(x+2)=4 ?

The answer to 3+1/(x+2)=4 is x=-1

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3+1/(x+2)=4

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

x = - 1

Solution steps

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

Move

3

to the right side

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

Multiply both sides by

x + 2

1 = x + 2

Switch sides

x + 2 = 1

Move

2

to the right side

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 1

\frac{x + 3}{x} + \frac{2}{3} = 10

\frac{1}{x + 1} + 2 = \frac{5}{x + 1}

x^{- 2} = \frac{1}{9}

2 x = \frac{1}{x}

\frac{6}{x} = - \frac{3}{7}