a)2(x-3)=6
[tex]x - 3 = \frac{6}{2}[/tex]
x-3=3
x=3+3=6
b)-3(x+1)=-6
[tex]x + 1 = \frac{ - 6}{ - 3} \\ \\ x + 1 = \frac{6}{3} [/tex]
x+1=2
x=2-1=1
c)3(2x-3)=-39
[tex]2x - 3 = - \frac{39}{3} [/tex]
2x-3=-13
2x=-13+3=-10
[tex]x = - \frac{10}{2} = - 5[/tex]
d)-6(x+7)+3x=-42
-6x-42+3x=-42
-3x-42=-42
-3x=0
x=0
e)|x+2|=11
x+2=11
-(x+2)=11
x=11-2=9
-x-2=11
-x=11+2=13
x=-13
S={9,-13}
f)|2x|=8
2x=8
-2x=8
[tex]x = \frac{8}{2} = 4 \\ \\ x = - \frac{8}{2} = - 4[/tex]
x=±4
g)|3x|=27
3x=27
-3x=27
[tex]x = \frac{27}{3} = 9 \\ \\ x = - \frac{27}{3} = - 9 [/tex]
x=±9
i)|x-3|=9
x-3=9
-(x-3)=9
x=9+3=12
-x+3=9
3-x=9
-x=9-3=6
x=-6
S={12,-6}
j)|2x+5|=15
2x+5=15
-(2x+5)=15
2x=15-5=10
[tex]x = \frac{10}{2} = 5 [/tex]
-2x-5=15
-2x=15+5=20
[tex]x = - \frac{20}{2} = - 10[/tex]
S={5,-10}
