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

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


Simplifying
5(6 + -1q) = -3(q + 2)
(6 * 5 + -1q * 5) = -3(q + 2)
(30 + -5q) = -3(q + 2)

Reorder the terms:
30 + -5q = -3(2 + q)
30 + -5q = (2 * -3 + q * -3)
30 + -5q = (-6 + -3q)

Solving
30 + -5q = -6 + -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.
30 + -5q + 3q = -6 + -3q + 3q

Combine like terms: -5q + 3q = -2q
30 + -2q = -6 + -3q + 3q

Combine like terms: -3q + 3q = 0
30 + -2q = -6 + 0
30 + -2q = -6

Add '-30' to each side of the equation.
30 + -30 + -2q = -6 + -30

Combine like terms: 30 + -30 = 0
0 + -2q = -6 + -30
-2q = -6 + -30

Combine like terms: -6 + -30 = -36
-2q = -36

Divide each side by '-2'.
q = 18

Simplifying
q = 18

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