Note the equal sign. What you do to one side, you do to the other:
3) x - 6 = 3x
Subtract x from both sides
x (-x) - 6 = 3x (-x)
-6 = 3x - x
-6 = 2x
Isolate the x. Divide 2 from both sides
(-6)/2 = (2x)/2
x = -6/2
x = -3
(see graph 1)
--------------------------------------------------------------------------------------------------
5) x - 4 = -2x + 2
Add 4 and 2x to both sides
x (+2x) - 4 (+4) = -2x (+2x) + 2 (+4)
x + 2x = 2 + 4
Simplify. Combine like terms
3x = 6
Isolate the x. Divide 3 from both sides
(3x)/3 = (6)/3
x = 6/3
x = 2
------------------------------------------------------------------------------------------------------------
Graph each equation. See attached pictures.
3) first, then 5) (I believe i put them in the right order)
~