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

The answer to (6x-1)/(x+5)-1/(6x)=6 is x=-5/187

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

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

x = - \frac{5}{187}

Decimal

x = - 0.02673 \dots

Solution steps

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

Multiply by LCM

36 x^{2} - 7 x - 5 = 36 x^{2} + 180 x

Move

5

to the right side

36 x^{2} - 7 x = 36 x^{2} + 180 x + 5

Subtract

36 x^{2} + 180 x

from both sides

36 x^{2} - 7 x - (36 x^{2} + 180 x) = 36 x^{2} + 180 x + 5 - (36 x^{2} + 180 x)

Simplify

- 187 x = 5

Divide both sides by

- 187

x = - \frac{5}{187}

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 0

Combine undefined points with solutions:

x = - \frac{5}{187}

\frac{1}{y - 2} = \frac{2 y + 1}{y ^{2} - 4}

\frac{15 - 2 x - x ^{2}}{x - 4} = 0

\frac{3 z - 6}{7 - 2 z} = \frac{1.2}{3.2}

\frac{x}{x - 6} - 8 = - \frac{1}{x - 6}

\frac{8}{x ^{2}} + 1 = \frac{9}{x}

What is the answer to (6x-1)/(x+5)-1/(6x)=6 ?
The answer to (6x-1)/(x+5)-1/(6x)=6 is x=-5/187
Solve for x: (6x-1)/(x+5)-1/(6x)=6
The solution is x=-5/187