Verified answer

[tex]x - 5 = \frac{1}{2} x + \frac{1}{2} \\ x - \frac{1}{2} x = \frac{1}{2} + 5 \\ \frac{1}{2} x = 5 \frac{1}{2} \\ x = 5 \frac{1}{2} \div \frac{1}{2} \\ x = \frac{11 \times 2}{2} \\ x = 11[/tex]

[tex]\frac{3x + 1}{4} - \frac{x}{6} = \frac{1 - x}{8} \: \: \: | \times 24 \\ 6(3x + 1) - 4x = 3(1 - x) \\ 18x + 6 - 4x = 3 - 3x \\ 14x + 3x = 3 - 6\\ 17x = - 3 \\ x = - \frac{3}{17}[/tex]

[tex]\frac{2 - x}{5} + 2 = \frac{3 + 2x}{2} \: \: | \times 10 \\ 2(2 - x) + 20 = 5(3 + 2x) \\ 4 - 2x + 20 = 15 + 10x \\ 10x + 2x = 24 - 15 \\ 12x = 9 \\ x = \frac{9}{12} \\ x = \frac{3}{4} \\ x = 0.75[/tex]