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

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

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

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

x = 1

Solution steps

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

Cross multiply

12 x - 9 = 2 x + 1

Move

9

to the right side

12 x = 2 x + 10

Move

2 x

to the left side

10 x = 10

Divide both sides by

10

x = 1

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 1

\frac{4}{k} + 3 = 14

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

\frac{2}{5} = \frac{6}{y} - 2

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

3 x^{- 2} - 17 x^{- 1} + 20 = 0

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