[tex]i) \frac{5x - 7}{2} - \frac{2x + 7}{3} = 3x - 14 \: | \times 6[/tex]
[tex]3(5x - 7) - 2(2x + 7) = 18x - 84[/tex]
[tex]15x - 21 - 4x - 14 = 18x - 84[/tex]
[tex]15x - 4x - 18x = - 84 + 21 + 14[/tex]
[tex] - 7x = - 49 \: | \div ( -7)[/tex]
[tex]x = 7[/tex]
[tex]j) \frac{3x + 1}{5} - \frac{x - 6}{2} = \frac{2x + 5}{5} + \frac{16}{5} \: | \times 10[/tex]
[tex] 2(3x + 1) - 5(x - 6) = 2(2x + 5) + 32[/tex]
[tex]6x + 2 - 5x + 30 = 4x + 10 + 32[/tex]
[tex]6x - 5x - 4x = 10 + 32 - 2 - 30[/tex]
[tex] - 3x = 10 \: | \times ( - 1)[/tex]
[tex]3x = - 10[/tex]
[tex]x = - \frac{10}{3} [/tex]
