a)17+3(x+2)=x+31
17+3x+6=x+31
3x+23=x+31
3x=x+31-23
3x=x+8
3x-x=8
2x=8
[tex]x = \frac{8}{2} = 4[/tex]
b)4(x+5)+27=2x+15
4x+20+27=2x+15
4x+47=2x+15
4x+47-2x=15
2x+47=15
2x=15-47=-32
[tex]x = - \frac{32}{2} = - 16 [/tex]
c)5(x+1)-2x=x-17
5x+5-2x=x-17
3x+5=x-17
3x+5-x=-17
2x+5=-17
2x=-17-5=-22
[tex]x = - \frac{22}{2} = - 11[/tex]
d)33-6(x+1)=4x+77
33-6x-6=4x+77
-6x+27=4x+77
27=4x+77+6x
27=10x+77
27-77=10x
-50=10x
[tex] - \frac{50}{10} = x [/tex]
-5=x
x=-5
