b) \( \frac{-4 x+5}{2}-\frac{11}{2}=\frac{9 x-1}{2}-\frac{2}{3} x \)

Let’s solve the equation step by step. First, combine like terms on both sides. Starting with the left side: \[ \frac{-4x + 5 - 11}{2} = \frac{-4x - 6}{2} = -2x - 3 \] Now, simplifying the right side: \[ \frac{9x - 1}{2} - \frac{2}{3}x = \frac{9x - 1}{2} - \frac{4x}{6} = \frac{9x - 1}{2} - \frac{2x}{3} \] To combine these, find a common denominator for both fractions, which is 6: \[ \frac{9x - 1}{2} \cdot \frac{3}{3} = \frac{27x - 3}{6} \] \[ \frac{2x}{3} \cdot \frac{2}{2} = \frac{4x}{6} \] Now we can rewrite the right side: \[ \frac{27x - 3 - 4x}{6} = \frac{23x - 3}{6} \] Rewriting the equation, we have: \[ -2x - 3 = \frac{23x - 3}{6} \] Next, we'll eliminate the fraction by multiplying every term by 6: \[ 6(-2x - 3) = 23x - 3 \implies -12x - 18 = 23x - 3 \] Combining like terms, we add \(12x\) to both sides: \[ -18 = 35x - 3 \] Now add 3 to both sides: \[ -15 = 35x \] Finally, divide by 35: \[ x = -\frac{15}{35} = -\frac{3}{7} \] So the solution is: \[ \boxed{-\frac{3}{7}} \]