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

The answer to 2/(x+1)=8 is x=-3/4

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2/(x+1)=8

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

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

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

Multiply both sides by

x + 1

2 = 8 (x + 1)

Switch sides

8 (x + 1) = 2

Divide both sides by

8

x + 1 = \frac{1}{4}

Move

1

to the right side

x = - \frac{3}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{3}{4}

\frac{4}{7} = \frac{28}{x}

\frac{6 x}{x + 1} = 3 - \frac{6}{x + 1}

\frac{x}{4} - \frac{77}{4 x} = - 1

15.878 = lo g_{10} (\frac{1}{x})

\frac{2000 x - 38400}{2000 x} = 0.2