Answer:
[tex]a) \: \: \frac{3x + 2}{4} = 5 \\ 3x + 2 = 5 \times 4 \\ 3x + 2 = 20 \\ 3x = 20 - 2 \\ 3x = 18 \\ x = \frac{18}{3} \\ x = 6 \\ \\ b) \: \frac{2x - 7}{5} = 6 \\ 2x - 7 = 6 \times 5 \\ 2x - 7 = 30 \\ 2x =30 + 7 \\ 2x = 37 \\ x = \frac{37}{2} \\ x = 18.5 \\ \\ c) \: \frac{4x - 3}{2} = - 4 \\ 4x - 3 = - 4 \times 2 \\ 4x - 3 = - 8 \\ 4x = - 8 + 3 \\ 4x = - 5 \\ x = \frac{ - 5}{4} \\ x = - 1.25 \\ \\ d) \: \: \frac{5x + 6}{4} = - 6 \\ 5x + 6 = - 6 \times4 \\ 5x + 6 = - 24 \\ 5x = - 24 + 6 \\ 5x = - 18 \\ x = \frac{ - 18}{5} \\ x = 3.6 \\ \\ e) \: \frac{3x + 1}{ - 5} = 10 \\ 3x + 1 = 10 \times - 5 \\ 3x + 1 = - 50 \\ 3x = - 50 - 1 \\ 3x = - 51 \\ x = \frac{ - 51}{3} \\ x = 71 \\ \\ f) \: \frac{6x - 11}{ - 4} = - 1 \\ 6x - 11 = - 1 \times - 4 \\ 6x - 11 = - 4 \\ 6x = - 4 + 11 \\ 6x = 7 \\ x = \frac{7}{6} \\ x = 1.16[/tex]
