What is the answer to (x-2)/(3x)= 1/(3x)+2 ?

The answer to (x-2)/(3x)= 1/(3x)+2 is x=-3/5

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(x-2)/(3x)= 1/(3x)+2

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

x = - \frac{3}{5}

Decimal Notation

x = - 0.6

Solution steps

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

Multiply both sides by

3 x

x - 2 = 1 + 6 x

Move

2

to the right side

x = 6 x + 3

Move

6 x

to the left side

- 5 x = 3

Divide both sides by

- 5

x = - \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{3}{5}

\frac{3}{x} = 3

\frac{x - 3}{x + 3} = \frac{x - 4}{x + 4}

\frac{2}{x + 1} - \frac{1}{4} = \frac{1}{5 x + 5}

\frac{x ^{2}}{x + 3} = \frac{9}{x + 3}

3 x^{2} + \frac{12}{x ^{2}} - 15 = 0

What is the answer to (x-2)/(3x)= 1/(3x)+2 ?
The answer to (x-2)/(3x)= 1/(3x)+2 is x=-3/5
Solve for x: (x-2)/(3x)= 1/(3x)+2
The solution is x=-3/5