What is the answer to 1/(x+2)+3=5 ?

The answer to 1/(x+2)+3=5 is x=-3/2

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1/(x+2)+3=5

\frac{1}{x + 2} + 3 = 5

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

\frac{1}{x + 2} + 3 = 5

Move

3

to the right side

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

Multiply both sides by

x + 2

1 = 2 (x + 2)

Switch sides

2 (x + 2) = 1

Divide both sides by

2

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

Move

2

to the right side

x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{3}{2}

t, f = \frac{1}{t}

- \frac{2 x}{( 1 + x ^{2} ) ^{2}} = 0

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

\frac{8 x + 3}{4 x + 6} = \frac{1}{2}

\frac{9}{x + 5} = 32