Równanie
[tex]5 - \frac{1}{2}(2x-6) = \frac{1}{3}(9-3x)-4x\\\\5-x+3=3-x-4x\\\\-x+8 = -5x+3\\\\-x+5x = 3 - 8\\\\4x=-5 \ \ /:4\\\\x = -\frac{5}{4}\\\\\boxed{x = -1\frac{1}{4}}[/tex]
Nierówność:
[tex]\frac{x-5}{5}-\frac{2x-4}{2} < \frac{1}{6}(x+4) \ \ /\cdot30\\\\6(x-5) - 15(2x-4) < 5(x+4)\\\\6x-30-30x+60 < 5x+20\\\\-24x+30 < 5x + 20\\\\-24x-5x < 20-30\\\\-29x < -10 \ \ /:(-29)\\\\\boxed{x > \frac{10}{29}}\\\\\\\underline{x \in (\frac{10}{29}; +\infty)}[/tex]
