What is the answer to -1/3 = 8/x-1 ?

The answer to -1/3 = 8/x-1 is x=12

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-1/3 = 8/x-1

- \frac{1}{3} = \frac{8}{x} - 1

x = 12

Solution steps

- \frac{1}{3} = \frac{8}{x} - 1

Multiply by LCM

- x = 24 - 3 x

Move

3 x

to the left side

2 x = 24

Divide both sides by

2

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 12

\frac{- 2}{x - 3} = \frac{x}{x - 6}

\frac{3 x ^{2} - 4 x - 32}{1 + x} = 0

x, g = \frac{y}{x c}

\frac{11}{x} - 3 = 0

\frac{7}{5} = \frac{6}{n}