What is the answer to (2x-12)/x =1+1/(6x) ?

The answer to (2x-12)/x =1+1/(6x) is x= 73/6

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(2x-12)/x =1+1/(6x)

\frac{2 x - 12}{x} = 1 + \frac{1}{6 x}

x = \frac{73}{6}

Decimal Notation

x = 12.16666 \dots

Solution steps

\frac{2 x - 12}{x} = 1 + \frac{1}{6 x}

Multiply by LCM

12 x - 72 = 6 x + 1

Move

72

to the right side

12 x = 6 x + 73

Move

6 x

to the left side

6 x = 73

Divide both sides by

6

x = \frac{73}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{73}{6}

\frac{9}{6} = \frac{5}{x}

x, e^{4 x} = 16

\frac{1 0 ^{12}}{1 0 ^{x}} = 10

e^{x} + e^{- x} = 3

4^{x + 3} \cdot 8^{2 x - 1} = 2

What is the answer to (2x-12)/x =1+1/(6x) ?
The answer to (2x-12)/x =1+1/(6x) is x= 73/6
Solve for x: (2x-12)/x =1+1/(6x)
The solution is x= 73/6