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

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

Simplifying
2(x + 3) = 4(3 + -1x)

Reorder the terms:
2(3 + x) = 4(3 + -1x)
(3 * 2 + x * 2) = 4(3 + -1x)
(6 + 2x) = 4(3 + -1x)
6 + 2x = (3 * 4 + -1x * 4)
6 + 2x = (12 + -4x)

Solving
6 + 2x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 2x + 4x = 12 + -4x + 4x

Combine like terms: 2x + 4x = 6x
6 + 6x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 6x = 12 + 0
6 + 6x = 12

Add '-6' to each side of the equation.
6 + -6 + 6x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 12 + -6
6x = 12 + -6

Combine like terms: 12 + -6 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1