# How do you solve # 5/(x+1) - 1/2 = 2/3x + 3#?

To solve the ensuing quadratic equation, we will first write each side as a single fraction, multiply it out, and then solve it.

Here, we multiply crosswise to obtain:

Now you can either fill in the square or use The Formula; The Formula is what I would suggest.

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To solve the equation ( \frac{5}{x+1} - \frac{1}{2} = \frac{2}{3}x + 3 ), follow these steps:

- Multiply every term by the least common denominator, which is (6(x+1)).
- Simplify the resulting equation.
- Solve for (x).
- Check for extraneous solutions.

After solving, you'll find (x = -\frac{5}{4}).

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