Here you go;
To move all variables to one side of the equation, we need to subtract 3x from both sides of the equation. Let's do that:
3x - 6 = 4x + 2
Subtracting 3x from both sides gives us:
-6 = 4x - 3x + 2
Simplifying the right side of the equation, we have:
-6 = x + 2
The new coefficient for x is 1.