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

The answer to (5x-5)/(x-2)= 1/3 is x= 13/14

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

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

x = \frac{13}{14}

Decimal Notation

x = 0.92857 \dots

Solution steps

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

Cross multiply

15 x - 15 = x - 2

Move

15

to the right side

15 x = x + 13

Move

x

to the left side

14 x = 13

Divide both sides by

14

x = \frac{13}{14}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{13}{14}

\frac{1}{x} = 6

a, y = x (\frac{ab}{a - b})

y, x = \frac{y - 1}{y + 5}

y, x = \frac{y - 1}{y + 1}

b, a = \frac{h}{b}

What is the answer to (5x-5)/(x-2)= 1/3 ?
The answer to (5x-5)/(x-2)= 1/3 is x= 13/14
Solve for x: (5x-5)/(x-2)= 1/3
The solution is x= 13/14