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

The answer to (x+1)/(2(6x-2))=6 is x= 25/71

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

\frac{x + 1}{2 ( 6 x - 2 )} = 6

x = \frac{25}{71}

Decimal Notation

x = 0.35211 \dots

Solution steps

\frac{x + 1}{2 ( 6 x - 2 )} = 6

Multiply both sides by

2 (6 x - 2)

x + 1 = 12 (6 x - 2)

Expand

12 (6 x - 2) : 72 x - 24

x + 1 = 72 x - 24

Move

1

to the right side

x = 72 x - 25

Move

72 x

to the left side

- 71 x = - 25

Divide both sides by

- 71

x = \frac{25}{71}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{3}

Combine undefined points with solutions:

x = \frac{25}{71}

6 = \frac{6}{x ^{2} + 2}

x, f = \frac{2 x - 1}{x}

\frac{lo g _{2} ( 8 )}{x} = 60

\frac{5}{m} = \frac{8}{2 m - 6}

\frac{a}{x - b} + \frac{b}{x - a} = 2

What is the answer to (x+1)/(2(6x-2))=6 ?
The answer to (x+1)/(2(6x-2))=6 is x= 25/71
Solve for x: (x+1)/(2(6x-2))=6
The solution is x= 25/71