Verified Answer :

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 : \(x-(12-x)=38\) 

\(x-12+x=38\)            \(\ Simplify \ brackets\)

\(2x-12=38\) 

\(2x=38+12\)              \(\ Add \ 12 \ to\ both \ sides\)

\(2x=50\) 

\(2x / 2=50 / 2\)         \(\ Divide \ both \ sides \ by \ 2\)

\(x=25\) 

Part 2 : \(\dfrac{z}{6} = \dfrac{7}{8}+ \dfrac{5}{8}\)         \(\ Add \ 5/8 \ to \ both \ sides\)

\(\dfrac{z}{6} = \dfrac{3}{2}\) 

\(z= \dfrac{3}{2} *6\)       \(\ Multiply \ both \ sides \ by \ 6\)

\(z=18/2\) 

\(z=9\) 

Part 3: \(3b-(6-b)=-22\)

\(3b-6+b=-22\)              \(\ Simplify \ brackets\)

\(3b+b=-22+6\)             \(\ Add \ 6 \ to \ both \ sides\)

\(4b=-16\) 

\(4b/4=-16/4\)              \(\ Divide \ both \ sides \ by \ 4\)

\(b=-4\)

\(7b=-28\)

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