5q+6=2q-2+6

Solution for 5q+6=2q-2+6 equation:

Simplifying
5q + 6 = 2q + -2 + 6

Reorder the terms:
6 + 5q = 2q + -2 + 6

Reorder the terms:
6 + 5q = -2 + 6 + 2q

Combine like terms: -2 + 6 = 4
6 + 5q = 4 + 2q

Solving
6 + 5q = 4 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
6 + 5q + -2q = 4 + 2q + -2q

Combine like terms: 5q + -2q = 3q
6 + 3q = 4 + 2q + -2q

Combine like terms: 2q + -2q = 0
6 + 3q = 4 + 0
6 + 3q = 4

Add '-6' to each side of the equation.
6 + -6 + 3q = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 3q = 4 + -6
3q = 4 + -6

Combine like terms: 4 + -6 = -2
3q = -2

Divide each side by '3'.
q = -0.6666666667

Simplifying
q = -0.6666666667