What is the answer to -5/(2x)-1= 1/(6x) ?

The answer to -5/(2x)-1= 1/(6x) is x=-8/3

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-5/(2x)-1= 1/(6x)

- \frac{5}{2 x} - 1 = \frac{1}{6 x}

x = - \frac{8}{3}

Decimal Notation

x = - 2.66666 \dots

Solution steps

- \frac{5}{2 x} - 1 = \frac{1}{6 x}

Multiply by LCM

- 15 - 6 x = 1

Move

15

to the right side

- 6 x = 16

Divide both sides by

- 6

x = - \frac{8}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{8}{3}

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

4 x - \frac{256}{x ^{2}} = 0

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

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

\frac{4}{2 + e ^{x}} = \frac{6}{3 + e ^{- x}}

What is the answer to -5/(2x)-1= 1/(6x) ?
The answer to -5/(2x)-1= 1/(6x) is x=-8/3
Solve for x: -5/(2x)-1= 1/(6x)
The solution is x=-8/3