What is the answer to 4/x-8=-2 ?

The answer to 4/x-8=-2 is x= 2/3

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4/x-8=-2

\frac{4}{x} - 8 = - 2

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

\frac{4}{x} - 8 = - 2

Move

8

to the right side

\frac{4}{x} = 6

Multiply both sides by

x

4 = 6 x

Switch sides

6 x = 4

Divide both sides by

6

x = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{3}

y, \frac{x}{y} = h - k

\frac{4}{5 x} = 11

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

\frac{2}{t} = \frac{t}{5 t - 12}

\frac{a}{5} = \frac{x}{2 x}