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

The answer to 3/(2x+1)= 1/(x-2) is x=7

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

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

x = 7

Solution steps

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

Cross multiply

3 x - 6 = 2 x + 1

Move

6

to the right side

3 x = 2 x + 7

Move

2 x

to the left side

x = 7

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 7

x, R = \frac{y}{x} x^{100}

4 = \frac{16}{x}

x, x + k + \frac{9}{x} = 0

2 x^{- 1} = 1

a, c = \frac{ab}{a + b}

What is the answer to 3/(2x+1)= 1/(x-2) ?
The answer to 3/(2x+1)= 1/(x-2) is x=7
Solve for x: 3/(2x+1)= 1/(x-2)
The solution is x=7