3(q+12)=5q+2

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Solution for 3(q+12)=5q+2 equation:


Simplifying
3(q + 12) = 5q + 2

Reorder the terms:
3(12 + q) = 5q + 2
(12 * 3 + q * 3) = 5q + 2
(36 + 3q) = 5q + 2

Reorder the terms:
36 + 3q = 2 + 5q

Solving
36 + 3q = 2 + 5q

Solving for variable 'q'.

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

Add '-5q' to each side of the equation.
36 + 3q + -5q = 2 + 5q + -5q

Combine like terms: 3q + -5q = -2q
36 + -2q = 2 + 5q + -5q

Combine like terms: 5q + -5q = 0
36 + -2q = 2 + 0
36 + -2q = 2

Add '-36' to each side of the equation.
36 + -36 + -2q = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -2q = 2 + -36
-2q = 2 + -36

Combine like terms: 2 + -36 = -34
-2q = -34

Divide each side by '-2'.
q = 17

Simplifying
q = 17

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