[tex]a) \: 3(1 - 2x) + {2}^{3} = 32 \\ 3 - 6x + 8 = 32 \\ - 6x = 32 - 3 - 8 \\ - 6x = 29 - 8 \\ - 6x = 21 | \times ( - 1 \\ 6x = - 21 \\ x = \frac{21}{6} [/tex]
[tex]( {2}^{2} \times 15) \div (3y + 2) = 12 \\ (4 \times 15) \div (3y + 2) = 12 \\ 60 \div (3y + 2) = 12 \\ 3y + 2 = 12 \div 60 \\ 3y + 2 = 0.2 \\ 3y = 0.2 - 2 \\ 3y = - 1.8 \\ y = - 0.6[/tex]
[tex] {3}^{3} \times {2}^{3} - 3x = 12 \\ 9 \times 8 - 3x = 12 \\ 72 - 3x = 12 \\ - 3x = 12 - 72 \\ - 3x = - 60 | \times ( - 1 \\ 3x = 60 \\ x = \frac{60}{3} \\ x = 20[/tex]
[tex] {4}^{16} \div {4}^{12} - 5x = 1 \\ {4}^{16 - 12} - 5x = 1 \\ {4}^{4} - 5x = 1 \\ 256 - 5x = 1 \\ - 5x = 1 - 256 \\ - 5x = - 255 | \times ( - 1 \\ 5x = 255 \\ x = 255 \div 5 \\ x = 51[/tex]
