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

The answer to 2/(4x-1)= 3/(4x+1) is x= 5/4

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

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

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

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

Cross multiply

8 x + 2 = 12 x - 3

Move

2

to the right side

8 x = 12 x - 5

Move

12 x

to the left side

- 4 x = - 5

Divide both sides by

- 4

x = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{5}{4}

\frac{4}{x} + 10 = \frac{4}{x - 3}

\frac{3}{7 x - 2} = \frac{9}{3 x + 1}

\frac{3}{x + 2} + \frac{5}{x - 4} = 2

\frac{x}{2 - x} = 6

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

What is the answer to 2/(4x-1)= 3/(4x+1) ?
The answer to 2/(4x-1)= 3/(4x+1) is x= 5/4
Solve for x: 2/(4x-1)= 3/(4x+1)
The solution is x= 5/4