78=3(4x+2)

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

Simplifying
78 = 3(4x + 2)

Reorder the terms:
78 = 3(2 + 4x)
78 = (2 * 3 + 4x * 3)
78 = (6 + 12x)

Solving
78 = 6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
78 + -12x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
78 + -12x = 6 + 0
78 + -12x = 6

Add '-78' to each side of the equation.
78 + -78 + -12x = 6 + -78

Combine like terms: 78 + -78 = 0
0 + -12x = 6 + -78
-12x = 6 + -78

Combine like terms: 6 + -78 = -72
-12x = -72

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

Simplifying
x = 6