2(x+3)=4(6-2x)

Solution for 2(x+3)=4(6-2x) equation:

Simplifying
2(x + 3) = 4(6 + -2x)

Reorder the terms:
2(3 + x) = 4(6 + -2x)
(3 * 2 + x * 2) = 4(6 + -2x)
(6 + 2x) = 4(6 + -2x)
6 + 2x = (6 * 4 + -2x * 4)
6 + 2x = (24 + -8x)

Solving
6 + 2x = 24 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + 2x + 8x = 24 + -8x + 8x

Combine like terms: 2x + 8x = 10x
6 + 10x = 24 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 10x = 24 + 0
6 + 10x = 24

Add '-6' to each side of the equation.
6 + -6 + 10x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 24 + -6
10x = 24 + -6

Combine like terms: 24 + -6 = 18
10x = 18

Divide each side by '10'.
x = 1.8

Simplifying
x = 1.8