What is the answer to -8+5/x =-3x ?

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

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-8+5/x =-3x

- 8 + \frac{5}{x} = - 3 x

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

Decimal Notation

x = 1, x = 1.66666 \dots

Solution steps

- 8 + \frac{5}{x} = - 3 x

Multiply both sides by

x

- 8 x + 5 = - 3 x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{12}{x} - \frac{22}{x - 4} + 4 = 0

\frac{3}{3 x + 2} = \frac{6}{5 x}

x - \frac{x + 5}{x + 6} = \frac{1}{x + 6}

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

x + \frac{5}{x} = 6