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

The answer to 1/(x+5)= 2/3 is x=-7/2

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1/(x+5)= 2/3

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

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

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

Cross multiply

3 = (x + 5) \cdot 2

Switch sides

(x + 5) \cdot 2 = 3

Divide both sides by

2

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

Move

5

to the right side

x = - \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - \frac{7}{2}

- 4 = r^{- 4}

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

\frac{X - 70}{X} = \frac{7}{20}

\frac{x - 5}{( x - 1 ) ^{3}} = 0

x^{- 2} - 6 x^{- 1} + 8 = 0