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JunhaoZ
#5. distribute negative sign: x-12+x=38, add 12 to both sides: 2x=50, divide by 2: x=25
#6. add 5/8 to both sides: z/6=12/8, multiply 6 on both sides: z=9
#7. distribute negative sign: 3b-6+b=-22, add 6 to both sides: 4b=-16, divide by 4: b=-4. 7b=-28
Part 1 : [tex]x-(12-x)=38[/tex] 

[tex] x-12+x=38 [/tex]            [tex]\ Simplify \ brackets[/tex]

[tex]2x-12=38[/tex] 

[tex]2x=38+12 [/tex]              [tex]\ Add \ 12 \ to\ both \ sides[/tex]

[tex]2x=50 [/tex] 

[tex] 2x / 2=50 / 2 [/tex]         [tex]\ Divide \ both \ sides \ by \ 2[/tex]

[tex]x=25[/tex] 

Part 2 : [tex] \dfrac{z}{6} = \dfrac{7}{8}+ \dfrac{5}{8} [/tex]         [tex]\ Add \ 5/8 \ to \ both \ sides[/tex]

[tex] \dfrac{z}{6} = \dfrac{3}{2} [/tex] 

[tex]z= \dfrac{3}{2} *6[/tex]       [tex]\ Multiply \ both \ sides \ by \ 6[/tex]

[tex]z=18/2[/tex] 

[tex]z=9[/tex] 

Part 3: [tex]3b-(6-b)=-22[/tex]

[tex]3b-6+b=-22[/tex]              [tex]\ Simplify \ brackets[/tex]

[tex]3b+b=-22+6[/tex]             [tex]\ Add \ 6 \ to \ both \ sides[/tex]

[tex] 4b=-16 [/tex] 

[tex] 4b/4=-16/4 [/tex]              [tex]\ Divide \ both \ sides \ by \ 4[/tex]

[tex] b=-4[/tex]

[tex]7b=-28[/tex]

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