a)
[tex] \frac{2x + 3}{5} = \frac{2 - x}{3} - x | - 15 \\ 3(2x + 3) = 5(2 - x) - 15x \\ 6x + 9 = 10 - 5x - 15x \\ 6x + 20x = 10 - 9 \\ 26x = 1 \\ x = \frac{1}{26}[/tex]
b)
[tex] \frac{x + 1}{2} - \frac{x - 1}{3} = \frac{1}{4} | \times 12 \\ 6(x + 1) - 4(x - 1) = 3 \\ 6x + 6 - 4x + 4 = 3 \\ 2x = 3 - 10 \\ 2x = - 7 | \div 2 \\ x = - 3.5[/tex]
c)
[tex] \frac{4x + 7}{2} - \frac{5x - 1}{6} = x + 5 | \times 6 \\ 3(4x + 7) - 1(5x - 1) = 6(x + 5) \\ 12x + 21 - 5x + 1 = 6x + 30 \\ 7x - 6x = 30 - 22 \\ x = 8[/tex]
d)
[tex] \frac{x + 5}{4} - \frac{2x + 1}{8} = \frac{1}{2} (2 - x) | \times 8 \\ 2(x + 5) - 1(2x + 1) = 4(2 - x) \\ 2x + 10 - 2x - 1 = 8 - 4x \\ 4x = 8 - 9 \\ 4x = - 1 | \div 4 \\ x = - \frac{1}{4} = - 0.25[/tex]
