78=2(x+3)+x

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

Simplifying
78 = 2(x + 3) + x

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

Combine like terms: 2x + x = 3x
78 = 6 + 3x

Solving
78 = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
78 + -3x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
78 + -3x = 6 + 0
78 + -3x = 6

Add '-78' to each side of the equation.
78 + -78 + -3x = 6 + -78

Combine like terms: 78 + -78 = 0
0 + -3x = 6 + -78
-3x = 6 + -78

Combine like terms: 6 + -78 = -72
-3x = -72

Divide each side by '-3'.
x = 24

Simplifying
x = 24