2(2x)+2(x+3)=78

Solution for 2(2x)+2(x+3)=78 equation:

Simplifying
2(2x) + 2(x + 3) = 78

Remove parenthesis around (2x)
2 * 2x + 2(x + 3) = 78

Multiply 2 * 2
4x + 2(x + 3) = 78

Reorder the terms:
4x + 2(3 + x) = 78
4x + (3 * 2 + x * 2) = 78
4x + (6 + 2x) = 78

Reorder the terms:
6 + 4x + 2x = 78

Combine like terms: 4x + 2x = 6x
6 + 6x = 78

Solving
6 + 6x = 78

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 = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 78 + -6
6x = 78 + -6

Combine like terms: 78 + -6 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12