6+5q-3q+14=3q+5+2q

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Solution for 6+5q-3q+14=3q+5+2q equation:


Simplifying
6 + 5q + -3q + 14 = 3q + 5 + 2q

Reorder the terms:
6 + 14 + 5q + -3q = 3q + 5 + 2q

Combine like terms: 6 + 14 = 20
20 + 5q + -3q = 3q + 5 + 2q

Combine like terms: 5q + -3q = 2q
20 + 2q = 3q + 5 + 2q

Reorder the terms:
20 + 2q = 5 + 3q + 2q

Combine like terms: 3q + 2q = 5q
20 + 2q = 5 + 5q

Solving
20 + 2q = 5 + 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.
20 + 2q + -5q = 5 + 5q + -5q

Combine like terms: 2q + -5q = -3q
20 + -3q = 5 + 5q + -5q

Combine like terms: 5q + -5q = 0
20 + -3q = 5 + 0
20 + -3q = 5

Add '-20' to each side of the equation.
20 + -20 + -3q = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -3q = 5 + -20
-3q = 5 + -20

Combine like terms: 5 + -20 = -15
-3q = -15

Divide each side by '-3'.
q = 5

Simplifying
q = 5

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