78=2(2x+3+x)

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

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

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

Combine like terms: 2x + x = 3x
78 = 2(3 + 3x)
78 = (3 * 2 + 3x * 2)
78 = (6 + 6x)

Solving
78 = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
78 + -6x = 6 + 6x + -6x

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

Add '-78' to each side of the equation.
78 + -78 + -6x = 6 + -78

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

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

Divide each side by '-6'.
x = 12

Simplifying
x = 12