What is the answer to (x-2)/(3x-1)= 1/5 ?

The answer to (x-2)/(3x-1)= 1/5 is x= 9/2

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(x-2)/(3x-1)= 1/5

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

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

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

Cross multiply

5 x - 10 = 3 x - 1

Move

10

to the right side

5 x = 3 x + 9

Move

3 x

to the left side

2 x = 9

Divide both sides by

2

x = \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{3}

Combine undefined points with solutions:

x = \frac{9}{2}

3 x^{- 2} - 17 x^{- 1} + 20 = 0

\frac{5}{11} = \frac{2}{x}

s = \frac{d}{t}, t

\frac{9}{4 x} - \frac{7}{4} = - 4

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

What is the answer to (x-2)/(3x-1)= 1/5 ?
The answer to (x-2)/(3x-1)= 1/5 is x= 9/2
Solve for x: (x-2)/(3x-1)= 1/5
The solution is x= 9/2