5q+6=2q-2+q

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

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

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

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

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

Solving
6 + 5q = -2 + 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 + 5q + -3q = -2 + 3q + -3q

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

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

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

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

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

Divide each side by '2'.
q = -4

Simplifying
q = -4