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2x + 4 = 3x +4
1) First bring all of the unknowns ("x") to one side and the cardinal values to the other side. When terms switch sides, they also switch signs (e.g., moving a +4 from one side to the other makes the value -4 once moved).
So 2x moves to the right and +4 moves left, giving you the equation:
+4 -4= 3x - 2x
2) Simplifying both sides leads to the following:
+4 - 4=3x - 2x
0 = 1x
0=x
(But usually, the unknown is represented on the left hand side of the equation)
x=0
3) Since we have discovered a result, one can check the answer by replacing the unknown with the solution (in this case, 0):
2x + 4 = 3x +4
(2 * 0) + 4 = (3 * 0) + 4
4 = 4
The check, uh, checks. So we are good to go!
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