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

The answer to -3=(2x-1)/(1-3x) is x= 2/7

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

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

x = \frac{2}{7}

Decimal

x = 0.28571 \dots

Solution steps

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

Multiply both sides by

1 - 3 x

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

Expand

- 3 (1 - 3 x) : - 3 + 9 x

- 3 + 9 x = 2 x - 1

Move

3

to the right side

9 x = 2 x + 2

Move

2 x

to the left side

7 x = 2

Divide both sides by

7

x = \frac{2}{7}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{3}

Combine undefined points with solutions:

x = \frac{2}{7}

x - \frac{3 x + 5}{x + 1} = \frac{2 x}{x + 1}

\frac{3 x + 25}{x + 7} - 5 = \frac{3}{x}

\frac{x + 3}{- 4 x} = \frac{x - 1}{- 4}

\frac{2 x}{x - 1} = \frac{5}{x - 3}

\frac{1}{7} + \frac{1}{8} = \frac{1}{x}

What is the answer to -3=(2x-1)/(1-3x) ?
The answer to -3=(2x-1)/(1-3x) is x= 2/7
Solve for x: -3=(2x-1)/(1-3x)
The solution is x= 2/7