2(x+3)-4x=2

Solution for 2(x+3)-4x=2 equation:

Simplifying
2(x + 3) + -4x = 2

Reorder the terms:
2(3 + x) + -4x = 2
(3 * 2 + x * 2) + -4x = 2
(6 + 2x) + -4x = 2

Combine like terms: 2x + -4x = -2x
6 + -2x = 2

Solving
6 + -2x = 2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -2x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 2 + -6
-2x = 2 + -6

Combine like terms: 2 + -6 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2