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

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

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

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

Combine like terms: 4x + -4x = 0
6 + -2x = 12 + 0
6 + -2x = 12

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

Combine like terms: 6 + -6 = 0
0 + -2x = 12 + -6
-2x = 12 + -6

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3