3(x+2)+4x=83

Solution for 3(x+2)+4x=83 equation:

Simplifying
3(x + 2) + 4x = 83

Reorder the terms:
3(2 + x) + 4x = 83
(2 * 3 + x * 3) + 4x = 83
(6 + 3x) + 4x = 83

Combine like terms: 3x + 4x = 7x
6 + 7x = 83

Solving
6 + 7x = 83

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 + 7x = 83 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 83 + -6
7x = 83 + -6

Combine like terms: 83 + -6 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11