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

The answer to 8/(x-2)= 3/(2x+1) is x=-14/13

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

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

x = - \frac{14}{13}

Decimal Notation

x = - 1.07692 \dots

Solution steps

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

Cross multiply

16 x + 8 = 3 x - 6

Move

8

to the right side

16 x = 3 x - 14

Move

3 x

to the left side

13 x = - 14

Divide both sides by

13

x = - \frac{14}{13}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - \frac{14}{13}

\frac{4}{c - 2} = \frac{c - 4}{2}

\frac{9}{3 x - 2} = 1

x^{- 2} - x^{- 1} - 42 = 0

\frac{3 x}{8 + 4} = \frac{x - 2}{x}

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

What is the answer to 8/(x-2)= 3/(2x+1) ?
The answer to 8/(x-2)= 3/(2x+1) is x=-14/13
Solve for x: 8/(x-2)= 3/(2x+1)
The solution is x=-14/13