What is the answer to 2/(2x+3)= 1/8 ?

The answer to 2/(2x+3)= 1/8 is x= 13/2

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2/(2x+3)= 1/8

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

x = \frac{13}{2}

Decimal Notation

x = 6.5

Solution steps

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

Cross multiply

16 = 2 x + 3

Switch sides

2 x + 3 = 16

Move

3

to the right side

2 x = 13

Divide both sides by

2

x = \frac{13}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{2}

Combine undefined points with solutions:

x = \frac{13}{2}

\frac{x - 5}{x} = \frac{49}{50}

x = \frac{4}{( \frac{2}{x} ) ^{2}}

2 x - \frac{16}{x ^{2}} = 0

\frac{1}{2 x} = 6

\frac{1}{2 x} = 4