3x = 2x + 6

how is this worked out?

The easiest way to solve this is to get x by itself. Here is how you do it:

3x = 2x + 6

First subtract 2x from each side

3x - 2x = 2x - 2x + 6

Simplify that down to:

1x=6

That will be your answer because x and 1x are the same.

x=6

To check, plug the answer back into the equation.

3 (6) = 2 (6) + 6

18=12+6

18=18

So that verifies that x=6

X=6, subtract 2x from both sides