_
(1.)
x = 6            here is the problem

x = 36           square each side
_____
(2.)
x - 9 = 8         here is the problem

x - 9 = 64        square each side

+    9   + 9   add 9 to each side
_______________
x   = 73          add
_____
(3.)   3 +
x - 1 = 5        here is the problem

-3           -3      subtract 3 from each side
___________________
_____

x - 1 = 2        subtract

x - 1 = 4      square each side

+  1  + 1      add 1 to each side
________________
x = 5           add
_
(4.)   8 + 2
x = 0             here is the problem

-8          -8         subtract 8 from each side
________________
_
2
x =   -8         subtract
___    ____
2       2        divide each side by 2
_

x = -4           divide and cancel

result:  no solution

_
(5.)   5
x = 2              here is the problem
___  ____
5     5          divide each side by 5
_

x = 2/5            cancel

x = 4/25        square each side
_
(6.)     6 +
x = 13         here is the problem

-6       -6     subtract 6 from each side
__________________
_

x = 7          subtract

x = 49            square each side
______
(7.)  8 =
5r + 1         here is the problem

64 = 5r + 1        square each side

-1       -1      subtract 1 from each side
_______________
63 = 5r              subtract
_____  ___
5     5          divide each side by 5

12.6 = r          divide and cancel
______
(8.)
x2 + 5 = x + 1            here is the problem

x2 + 5 = x2 + 2x + 1      square each side

-x2       -x2            subtract x2 from each side
__________________________
5 =     2x + 1       subtract

-1           -1        subtract 1 from each side
______________________
4 = 2x                 subtract
__  ____
2    2             divide each side by 2

2 = x            divide and cancel
_______
(9.)
x2 + 24 = x + 12            here is the problem

x2 + 24 = x2 + 24x + 144    square each side

-x2       -x2            subtract x2 from each side
________________________________
24 =      24x + 144          subtract

24x + 144 = 24                  just rearrange

-144  -144         subtract 144 from each side
____________________
24x       = -120            subtract
____         _____
24           24           divide each side by 24

x = -5               divide and cancel
_______
(10.)
3b2 - 5 = 11          here is the problem

3b2 - 5 = 121          square each side

+5    +5         add 5 to each side
__________________
3b2   =  126             add
____     _____
3         3             divide each side by 3

b2 = 42                divide and cancel
__           __
b =
42     b = -42       take square roots