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

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

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

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Cross multiply

- 3 x - 1 = 3 x - 3

Move

1

to the right side

- 3 x = 3 x - 2

Move

3 x

to the left side

- 6 x = - 2

Divide both sides by

- 6

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - \frac{1}{3}

Combine undefined points with solutions:

x = \frac{1}{3}

\frac{11}{n} = \frac{8}{5}

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

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

\frac{2}{x} = 1

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

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