2(x+3)+4x=114

Solution for 2(x+3)+4x=114 equation:

Simplifying
2(x + 3) + 4x = 114

Reorder the terms:
2(3 + x) + 4x = 114
(3 * 2 + x * 2) + 4x = 114
(6 + 2x) + 4x = 114

Combine like terms: 2x + 4x = 6x
6 + 6x = 114

Solving
6 + 6x = 114

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 = 114 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 114 + -6
6x = 114 + -6

Combine like terms: 114 + -6 = 108
6x = 108

Divide each side by '6'.
x = 18

Simplifying
x = 18