Question

Guys, please if possible help me with #5, #6, #7!

Answer 1

#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

Answer 2

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: $3b-(6-b)=-22$

$3b-6+b=-22$              $\ Simplify \ brackets$

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

$4b=-16$ 

$4b/4=-16/4$              $\ Divide \ both \ sides \ by \ 4$

$b=-4$

$7b=-28$