6+2q=3(2+q)+2

Solution for 6+2q=3(2+q)+2 equation:

Simplifying
6 + 2q = 3(2 + q) + 2
6 + 2q = (2 * 3 + q * 3) + 2
6 + 2q = (6 + 3q) + 2

Reorder the terms:
6 + 2q = 6 + 2 + 3q

Combine like terms: 6 + 2 = 8
6 + 2q = 8 + 3q

Solving
6 + 2q = 8 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
6 + 2q + -3q = 8 + 3q + -3q

Combine like terms: 2q + -3q = -1q
6 + -1q = 8 + 3q + -3q

Combine like terms: 3q + -3q = 0
6 + -1q = 8 + 0
6 + -1q = 8

Add '-6' to each side of the equation.
6 + -6 + -1q = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1q = 8 + -6
-1q = 8 + -6

Combine like terms: 8 + -6 = 2
-1q = 2

Divide each side by '-1'.
q = -2

Simplifying
q = -2