5(q+1)=2q-12

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Solution for 5(q+1)=2q-12 equation:


Simplifying
5(q + 1) = 2q + -12

Reorder the terms:
5(1 + q) = 2q + -12
(1 * 5 + q * 5) = 2q + -12
(5 + 5q) = 2q + -12

Reorder the terms:
5 + 5q = -12 + 2q

Solving
5 + 5q = -12 + 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.
5 + 5q + -2q = -12 + 2q + -2q

Combine like terms: 5q + -2q = 3q
5 + 3q = -12 + 2q + -2q

Combine like terms: 2q + -2q = 0
5 + 3q = -12 + 0
5 + 3q = -12

Add '-5' to each side of the equation.
5 + -5 + 3q = -12 + -5

Combine like terms: 5 + -5 = 0
0 + 3q = -12 + -5
3q = -12 + -5

Combine like terms: -12 + -5 = -17
3q = -17

Divide each side by '3'.
q = -5.666666667

Simplifying
q = -5.666666667

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