What is the answer to (10x-1+6)/(12x)=10 ?

The answer to (10x-1+6)/(12x)=10 is x= 1/22

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(10x-1+6)/(12x)=10

\frac{10 x - 1 + 6}{12 x} = 10

x = \frac{1}{22}

Decimal Notation

x = 0.04545 \dots

Solution steps

\frac{10 x - 1 + 6}{12 x} = 10

Simplify

\frac{10 x - 1 + 6}{12 x} : \frac{10 x + 5}{12 x}

\frac{10 x + 5}{12 x} = 10

Multiply both sides by

x

\frac{10 x + 5}{12} = 10 x

Multiply both sides by

12

10 x + 5 = 120 x

Move

5

to the right side

10 x = 120 x - 5

Move

120 x

to the left side

- 110 x = - 5

Divide both sides by

- 110

x = \frac{1}{22}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{22}

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

1 - \frac{2}{x - 1} = \frac{2}{x ^{2} - 3 x + 2}

4 + \frac{1}{x} - \frac{1}{x ^{2}} = 0

- 2 + \frac{x}{x + 2} = - \frac{7}{x + 2}

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

What is the answer to (10x-1+6)/(12x)=10 ?
The answer to (10x-1+6)/(12x)=10 is x= 1/22
Solve for x: (10x-1+6)/(12x)=10
The solution is x= 1/22