What is the answer to (2x+1)/(3x-6)= 3/2 ?

The answer to (2x+1)/(3x-6)= 3/2 is x=4

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(2x+1)/(3x-6)= 3/2

\frac{2 x + 1}{3 x - 6} = \frac{3}{2}

x = 4

Solution steps

\frac{2 x + 1}{3 x - 6} = \frac{3}{2}

Cross multiply

4 x + 2 = 9 x - 18

Move

2

to the right side

4 x = 9 x - 20

Move

9 x

to the left side

- 5 x = - 20

Divide both sides by

- 5

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 4

0.1 = \frac{2.8 x}{0.4 x ^{2} + 1.3}

\frac{x}{2} = \frac{8}{x}

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

\frac{28}{x} = 0

0 = \frac{x ^{2} - 9 x + 14}{4 x}

What is the answer to (2x+1)/(3x-6)= 3/2 ?
The answer to (2x+1)/(3x-6)= 3/2 is x=4
Solve for x: (2x+1)/(3x-6)= 3/2
The solution is x=4