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

The answer to (8x)/(x-3)-3= 1/x is x=-3/5 ,x=-1

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(8x)/(x-3)-3= 1/x

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

x = - \frac{3}{5}, x = - 1

Decimal Notation

x = - 0.6, x = - 1

Solution steps

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

Multiply by LCM

8 x^{2} - 3 x (x - 3) = x - 3

Solve

8 x^{2} - 3 x (x - 3) = x - 3 : x = - \frac{3}{5}, x = - 1

x = - \frac{3}{5}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 0

Combine undefined points with solutions:

x = - \frac{3}{5}, x = - 1

y, x = \frac{- y - 2}{y + 4}

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

\frac{15}{x - 3} = \frac{10}{x}

\frac{16}{x} = 0.3

159 = \frac{180 ( n - 2 )}{n}

What is the answer to (8x)/(x-3)-3= 1/x ?
The answer to (8x)/(x-3)-3= 1/x is x=-3/5 ,x=-1
Solve for x: (8x)/(x-3)-3= 1/x
The solution is x=-3/5 ,x=-1