3(x+2)+3x=2(x-5)+2

Solution for 3(x+2)+3x=2(x-5)+2 equation:

Simplifying
3(x + 2) + 3x = 2(x + -5) + 2

Reorder the terms:
3(2 + x) + 3x = 2(x + -5) + 2
(2 * 3 + x * 3) + 3x = 2(x + -5) + 2
(6 + 3x) + 3x = 2(x + -5) + 2

Combine like terms: 3x + 3x = 6x
6 + 6x = 2(x + -5) + 2

Reorder the terms:
6 + 6x = 2(-5 + x) + 2
6 + 6x = (-5 * 2 + x * 2) + 2
6 + 6x = (-10 + 2x) + 2

Reorder the terms:
6 + 6x = -10 + 2 + 2x

Combine like terms: -10 + 2 = -8
6 + 6x = -8 + 2x

Solving
6 + 6x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 6x + -2x = -8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = -8 + 0
6 + 4x = -8

Add '-6' to each side of the equation.
6 + -6 + 4x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -8 + -6
4x = -8 + -6

Combine like terms: -8 + -6 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5