[tex]a)3(1-2x)+8=32
[/tex]
[tex]
3-6x+8=32
[/tex]
[tex]
-6x=32-3-8
[/tex]
[tex]
-6x=21 |:( - 3)[/tex]
[tex]
2x=-7[/tex]
[tex]x = - \frac{7}{2} \: \notin \: \mathbb{N}[/tex]
[tex]b)60 \div (3y + 2) = 12[/tex]
[tex]60 \div 3y + 60 \div 2 = 12[/tex]
[tex]\frac{20}{y} + 30 = 12[/tex]
[tex]\frac{20}{y} = 12 - 30[/tex]
[tex]\frac{20}{y} = - 18 \: | \div 2[/tex]
[tex]y = - \frac{20}{18}[/tex]
[tex]y = - \frac{10}{9} \: \notin \: \mathbb{N}[/tex]
[tex]c)1 - 3(8x - 4) = 1[/tex]
[tex]1 - 24x + 12 = 1[/tex]
[tex] - 24x = 1 - 1 - 12[/tex]
[tex] - 24x = - 12 \: | \div ( - 12)[/tex]
[tex]2x = 1[/tex]
[tex]x = \frac{1}{2} \: \notin \: \mathbb{N}[/tex]
[tex]d)1605 + 4(3 - x) = 2011[/tex]
[tex]1605 + 12 - 4x = 2011[/tex]
[tex] - 4x = 2011 - 1605 - 12[/tex]
[tex] - 4x = 394 \: | \div ( - 2)[/tex]
[tex]2x = - 197 \: \notin \: \mathbb{N}[/tex]
