Since the "x"s cancel out in this problem, it wouldn't really matter if you got rid of the smaller variable first. But in other problems, agreed, it probably is a good idea!
3(x - 2) + 4 = 2x + 6 + x
I would remove the parentheses first by applying the distributive rule on the left side.
3x - 6 + 4 = 2x + 6 + x
We now combine like terms
3x - 2 = 3x + 6
At this point, we see that this equation has no solution.
It has no solution because 3x and -3x cancel each other out.
Final Answer: no solution