What is the answer to 8/x-7=17 ?

The answer to 8/x-7=17 is x= 1/3

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8/x-7=17

\frac{8}{x} - 7 = 17

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

\frac{8}{x} - 7 = 17

Move

7

to the right side

\frac{8}{x} = 24

Multiply both sides by

x

8 = 24 x

Switch sides

24 x = 8

Divide both sides by

24

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{3}

\frac{x - 4}{3} = \frac{x + 4}{x + 1}

y, x = \frac{y + 2}{2 y + 1}

\frac{1}{x + 2} + 4 = \frac{13}{x + 2}

0.64 = \frac{x ^{2}}{( 0.1 - x ) ^{2}}

\frac{1}{x - 7} = 2