3x - 7 = 4x
We're basically just trying to take all of the variables & put it onto one side, and then move everything else to the other side :)
So, we must add 7 to both sides.
3x = 4x + 7
Then, we subtract 4x from both sides.
3x - 4x = 7
Simplify.
-x = 7
Divide both sides by -1.
x = -7
To check our work, we simply need to plug in -7 for x in our given equation :)
3x - 7 = 4x
3(-7) - 7 = 4(-7)
Simplify.
-21 - 7 = -28
-28 = -28
Therefore, x = -7
~Hope I helped!~