2(x+3)+2(2x-6)=26

Solution for 2(x+3)+2(2x-6)=26 equation:

Simplifying
2(x + 3) + 2(2x + -6) = 26

Reorder the terms:
2(3 + x) + 2(2x + -6) = 26
(3 * 2 + x * 2) + 2(2x + -6) = 26
(6 + 2x) + 2(2x + -6) = 26

Reorder the terms:
6 + 2x + 2(-6 + 2x) = 26
6 + 2x + (-6 * 2 + 2x * 2) = 26
6 + 2x + (-12 + 4x) = 26

Reorder the terms:
6 + -12 + 2x + 4x = 26

Combine like terms: 6 + -12 = -6
-6 + 2x + 4x = 26

Combine like terms: 2x + 4x = 6x
-6 + 6x = 26

Solving
-6 + 6x = 26

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 + 6x = 26 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 26 + 6
6x = 26 + 6

Combine like terms: 26 + 6 = 32
6x = 32

Divide each side by '6'.
x = 5.333333333

Simplifying
x = 5.333333333