Solve the equation. If it is an identity (all real numbers) or a contradiction (no solution), so state.
2x – 6 + x = 4x – 6 – x

Question

Solve the equation. If it is an identity (all real numbers) or a contradiction (no solution), so state. 
2x – 6 + x = 4x – 6 – x

anonymous · Answer

First, simplify each side:
3x -6 = 3x - 6
The sides are the same, so you get
0=0
so  you have an identity, all real numbers.
Essentially this means that you can plug in whatever number for x and always satisfy the equation.

anonymous · Answer

still a little confused about this where did the 3x come from

anonymous · Answer

You add the 2x and the x on one side to get 3x (the left side)
on the right side you add together 4x and -x, which also gives you 3x. Does that help?