5(q+1)=12-2q

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


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

Reorder the terms:
5(1 + q) = 12 + -2q
(1 * 5 + q * 5) = 12 + -2q
(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 = 7q
5 + 7q = 12 + -2q + 2q

Combine like terms: -2q + 2q = 0
5 + 7q = 12 + 0
5 + 7q = 12

Add '-5' to each side of the equation.
5 + -5 + 7q = 12 + -5

Combine like terms: 5 + -5 = 0
0 + 7q = 12 + -5
7q = 12 + -5

Combine like terms: 12 + -5 = 7
7q = 7

Divide each side by '7'.
q = 1

Simplifying
q = 1

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