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

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

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

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

x = - 3

Solution steps

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

Cross multiply

4 x + 6 = 3 x + 3

Move

6

to the right side

4 x = 3 x - 3

Move

3 x

to the left side

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - 3

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

8 + \frac{20}{x} = \frac{4}{3}

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

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

\frac{650}{x} - \frac{650}{x + 5} = 6.5

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