2q+6=5(a-3)

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

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

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

Reorder the terms:
6 + 2q = 5(-3 + a)
6 + 2q = (-3 * 5 + a * 5)
6 + 2q = (-15 + 5a)

Solving
6 + 2q = -15 + 5a

Solving for variable 'q'.

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

Add '-6' to each side of the equation.
6 + -6 + 2q = -15 + -6 + 5a

Combine like terms: 6 + -6 = 0
0 + 2q = -15 + -6 + 5a
2q = -15 + -6 + 5a

Combine like terms: -15 + -6 = -21
2q = -21 + 5a

Divide each side by '2'.
q = -10.5 + 2.5a

Simplifying
q = -10.5 + 2.5a