78=4x+2(x+3)

Solution for 78=4x+2(x+3) equation:

Simplifying
78 = 4x + 2(x + 3)

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

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

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