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

The answer to 1/(2x-3)= 3/(4x+2) is x= 11/2

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

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

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

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

Cross multiply

4 x + 2 = 6 x - 9

Move

2

to the right side

4 x = 6 x - 11

Move

6 x

to the left side

- 2 x = - 11

Divide both sides by

- 2

x = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{11}{2}

\frac{1}{x + 1} = \frac{1}{1.3}

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

D, 8 = \frac{b}{D}

\frac{x - 2.4}{x + 3.2} = \frac{2.88}{3.84}

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

What is the answer to 1/(2x-3)= 3/(4x+2) ?
The answer to 1/(2x-3)= 3/(4x+2) is x= 11/2
Solve for x: 1/(2x-3)= 3/(4x+2)
The solution is x= 11/2