What is the answer to ((2x+1)/(2x))=10 ?

The answer to ((2x+1)/(2x))=10 is x= 1/18

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((2x+1)/(2x))=10

(\frac{2 x + 1}{2 x}) = 10

x = \frac{1}{18}

Decimal Notation

x = 0.05555 \dots

Solution steps

(\frac{2 x + 1}{2 x}) = 10

Simplify

(\frac{2 x + 1}{2 x}) : \frac{2 x + 1}{2 x}

\frac{2 x + 1}{2 x} = 10

Multiply both sides by

x

\frac{2 x + 1}{2} = 10 x

Multiply both sides by

2

2 x + 1 = 20 x

Move

1

to the right side

2 x = 20 x - 1

Move

20 x

to the left side

- 18 x = - 1

Divide both sides by

- 18

x = \frac{1}{18}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{18}

0 = \frac{1}{x} + 3

\frac{8}{3 ( x + 1 )} = \frac{1}{2}

\frac{x - 2404.1}{x} = \frac{2}{5}

\frac{3}{x} + 2 = 0

g + \frac{g}{g - 2} = \frac{2}{g - 2}

What is the answer to ((2x+1)/(2x))=10 ?
The answer to ((2x+1)/(2x))=10 is x= 1/18
Solve for x: ((2x+1)/(2x))=10
The solution is x= 1/18