What is the answer to 1/(2x+8)=88 ?

The answer to 1/(2x+8)=88 is x=-703/176

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1/(2x+8)=88

\frac{1}{2 x + 8} = 88

x = - \frac{703}{176}

Decimal Notation

x = - 3.99431 \dots

Solution steps

\frac{1}{2 x + 8} = 88

Multiply both sides by

2 x + 8

1 = 88 (2 x + 8)

Switch sides

88 (2 x + 8) = 1

Divide both sides by

88

2 x + 8 = \frac{1}{88}

Move

8

to the right side

2 x = - \frac{703}{88}

Divide both sides by

2

x = - \frac{703}{176}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{703}{176}

\frac{9 x}{x + 1} = 6 - \frac{9}{x + 1}

\frac{3}{v - 9} = \frac{9}{6}

\frac{16}{x - 1} = \frac{50}{4}

2 x - \frac{8}{x ^{2}} = 0

\frac{r}{r + 1} = 0.875