What is the answer to 8/(3x-2)= 2/(x-1) ?

The answer to 8/(3x-2)= 2/(x-1) is x=2

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8/(3x-2)= 2/(x-1)

\frac{8}{3 x - 2} = \frac{2}{x - 1}

x = 2

Solution steps

\frac{8}{3 x - 2} = \frac{2}{x - 1}

Cross multiply

8 x - 8 = 6 x - 4

Move

8

to the right side

8 x = 6 x + 4

Move

6 x

to the left side

2 x = 4

Divide both sides by

2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{3}, x = 1

Combine undefined points with solutions:

x = 2

\frac{5}{x + 5} - 9 = \frac{x}{x + 5}

- 5 - \frac{6}{x + 6} = \frac{x}{x + 6}

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

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

\frac{2 x}{x + 1} + 6 = \frac{2}{x ^{2} + x}

What is the answer to 8/(3x-2)= 2/(x-1) ?
The answer to 8/(3x-2)= 2/(x-1) is x=2
Solve for x: 8/(3x-2)= 2/(x-1)
The solution is x=2