5q-6=2(q+3)

Solution for 5q-6=2(q+3) equation:

Simplifying
5q + -6 = 2(q + 3)

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

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
3q = 12

Divide each side by '3'.
q = 4

Simplifying
q = 4