What is the answer to 2/((3x-2/3))=12 ?

The answer to 2/((3x-2/3))=12 is x= 5/18

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2/((3x-2/3))=12

\frac{2}{( 3 x - \frac{2}{3} )} = 12

x = \frac{5}{18}

Decimal Notation

x = 0.27777 \dots

Solution steps

\frac{2}{( 3 x - \frac{2}{3} )} = 12

Simplify

\frac{2}{3 x - \frac{2}{3}} : \frac{6}{9 x - 2}

\frac{6}{9 x - 2} = 12

Multiply both sides by

9 x - 2

6 = 12 (9 x - 2)

Switch sides

12 (9 x - 2) = 6

Divide both sides by

12

9 x - 2 = \frac{1}{2}

Move

2

to the right side

9 x = \frac{5}{2}

Divide both sides by

9

x = \frac{5}{18}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{9}

Combine undefined points with solutions:

x = \frac{5}{18}

34 x + \frac{23 x}{2 x} + 12 = 453

6220 = 4 π^{2} \cdot \frac{150}{x}

\frac{3}{x + 1} + \frac{1}{x - 2} = 0

x, y = f \frac{1}{( x - 2 )}

\frac{10}{x} = \frac{10}{10}

What is the answer to 2/((3x-2/3))=12 ?
The answer to 2/((3x-2/3))=12 is x= 5/18
Solve for x: 2/((3x-2/3))=12
The solution is x= 5/18