What is the answer to 2/(x+5)=4 ?

The answer to 2/(x+5)=4 is x=-9/2

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2/(x+5)=4

\frac{2}{x + 5} = 4

x = - \frac{9}{2}

Decimal Notation

x = - 4.5

Solution steps

\frac{2}{x + 5} = 4

Multiply both sides by

x + 5

2 = 4 (x + 5)

Switch sides

4 (x + 5) = 2

Divide both sides by

4

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

Move

5

to the right side

x = - \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - \frac{9}{2}

\frac{3}{a} = 7

\frac{5}{6} = \frac{x - 1}{2 x - 1}

\frac{1}{2 x - 5} = 4

\frac{3}{a} + \frac{4}{14 - a} = 1

\frac{0.3}{x} = \frac{x}{27}