5(q-4)+12=3(q-3)

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Solution for 5(q-4)+12=3(q-3) equation:


Simplifying
5(q + -4) + 12 = 3(q + -3)

Reorder the terms:
5(-4 + q) + 12 = 3(q + -3)
(-4 * 5 + q * 5) + 12 = 3(q + -3)
(-20 + 5q) + 12 = 3(q + -3)

Reorder the terms:
-20 + 12 + 5q = 3(q + -3)

Combine like terms: -20 + 12 = -8
-8 + 5q = 3(q + -3)

Reorder the terms:
-8 + 5q = 3(-3 + q)
-8 + 5q = (-3 * 3 + q * 3)
-8 + 5q = (-9 + 3q)

Solving
-8 + 5q = -9 + 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.
-8 + 5q + -3q = -9 + 3q + -3q

Combine like terms: 5q + -3q = 2q
-8 + 2q = -9 + 3q + -3q

Combine like terms: 3q + -3q = 0
-8 + 2q = -9 + 0
-8 + 2q = -9

Add '8' to each side of the equation.
-8 + 8 + 2q = -9 + 8

Combine like terms: -8 + 8 = 0
0 + 2q = -9 + 8
2q = -9 + 8

Combine like terms: -9 + 8 = -1
2q = -1

Divide each side by '2'.
q = -0.5

Simplifying
q = -0.5

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