What is the answer to (3x+4)/(x-2)= 5/6 ?

The answer to (3x+4)/(x-2)= 5/6 is x=-34/13

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(3x+4)/(x-2)= 5/6

\frac{3 x + 4}{x - 2} = \frac{5}{6}

x = - \frac{34}{13}

Decimal Notation

x = - 2.61538 \dots

Solution steps

\frac{3 x + 4}{x - 2} = \frac{5}{6}

Cross multiply

18 x + 24 = 5 x - 10

Move

24

to the right side

18 x = 5 x - 34

Move

5 x

to the left side

13 x = - 34

Divide both sides by

13

x = - \frac{34}{13}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - \frac{34}{13}

\frac{x ^{3} - x}{x ^{2} - x} = 17

\frac{6}{1 - z} = \frac{- 9}{z + 1}

y = \frac{y ( y ^{3} ) ^{2}}{y ^{3}}

\frac{20}{x} = \frac{12}{16}

6 - \frac{5}{y + 2} = \frac{4}{y - 1}

What is the answer to (3x+4)/(x-2)= 5/6 ?
The answer to (3x+4)/(x-2)= 5/6 is x=-34/13
Solve for x: (3x+4)/(x-2)= 5/6
The solution is x=-34/13