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

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

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

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

x = 4

Solution steps

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

Cross multiply

6 x + 4 = 8 x - 4

Move

4

to the right side

6 x = 8 x - 8

Move

8 x

to the left side

- 2 x = - 8

Divide both sides by

- 2

x = 4

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 4

\frac{x}{- 4 x - 4} = - 4 (x + 2)

\frac{3 x - 5}{x - 3} = 0

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

\frac{1}{x} - 1 = 0

\frac{1}{x + 2} + 2 = \frac{9}{4}

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