Simplifying
4x + -2 = 3x + 4
Reorder the terms:
-2 + 4x = 3x + 4
Reorder the terms:
-2 + 4x = 4 + 3x
Solving
-2 + 4x = 4 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-2 + 4x + -3x = 4 + 3x + -3x
Combine like terms: 4x + -3x = 1x
-2 + 1x = 4 + 3x + -3x
Combine like terms: 3x + -3x = 0
-2 + 1x = 4 + 0
-2 + 1x = 4
Add '2' to each side of the equation.
-2 + 2 + 1x = 4 + 2
Combine like terms: -2 + 2 = 0
0 + 1x = 4 + 2
1x = 4 + 2
Combine like terms: 4 + 2 = 6
1x = 6
Divide each side by '1'.
x = 6
Simplifying
x = 6