What is the answer to 3/4-5= 2/x ?

The answer to 3/4-5= 2/x is x=-8/17

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3/4-5= 2/x

\frac{3}{4} - 5 = \frac{2}{x}

x = - \frac{8}{17}

Decimal Notation

x = - 0.47058 \dots

Solution steps

\frac{3}{4} - 5 = \frac{2}{x}

Multiply both sides by

x

- \frac{17}{4} x = 2

Multiply both sides by

4

- 17 x = 8

Divide both sides by

- 17

x = - \frac{8}{17}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{8}{17}

\frac{1}{x - 1} = \frac{2}{3 - x}

g = \frac{c}{1 - u}

\frac{x + 3}{x - 2} = 7

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

\frac{x - 5}{4 x} + 1 = \frac{x + 2}{x}