What is the answer to 5/(3x-4)= 1/(x-2) ?

The answer to 5/(3x-4)= 1/(x-2) is x=3

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5/(3x-4)= 1/(x-2)

\frac{5}{3 x - 4} = \frac{1}{x - 2}

x = 3

Solution steps

\frac{5}{3 x - 4} = \frac{1}{x - 2}

Cross multiply

5 x - 10 = 3 x - 4

Move

10

to the right side

5 x = 3 x + 6

Move

3 x

to the left side

2 x = 6

Divide both sides by

2

x = 3

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{3}, x = 2

Combine undefined points with solutions:

x = 3

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

3 + \frac{1}{x + 2} = 4

\frac{x + 3}{x} + \frac{2}{3} = 10

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

x^{- 2} = \frac{1}{9}

What is the answer to 5/(3x-4)= 1/(x-2) ?
The answer to 5/(3x-4)= 1/(x-2) is x=3
Solve for x: 5/(3x-4)= 1/(x-2)
The solution is x=3