x – 2x + 2 – 16/3x + 5 = 3 – 7/2x

Sure, let's solve the equation step by step:

1. First, let's simplify the equation by combining like terms on both sides. On the left side, we have x, -2x, and -16/3x which are like terms. On the right side, we have 3 and -7/2x which are like terms.

   So, the equation becomes: (1 - 2 - 16/3)x + 2 + 5 = 3 - 7/2x

2. Simplify further: (-11/3)x + 7 = 3 - 7/2x

3. To make it easier, let's get rid of the fractions by multiplying the entire equation by 6 (which is the least common multiple of 2 and 3): -22x + 42 = 18 + 21x

4. Now, let's get all the x terms on one side and the constants on the other side: -22x - 21x = 18 - 42

5. Simplify further: -43x = -24

6. Finally, solve for x by dividing both sides by -43: x = 24/43

So, the solution to the equation is x = 24/43.