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

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

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

Reorder the terms:
2(-6 + 2x) + 2(x + 3) = 26
(-6 * 2 + 2x * 2) + 2(x + 3) = 26
(-12 + 4x) + 2(x + 3) = 26

Reorder the terms:
-12 + 4x + 2(3 + x) = 26
-12 + 4x + (3 * 2 + x * 2) = 26
-12 + 4x + (6 + 2x) = 26

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

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

Combine like terms: 4x + 2x = 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