2q+5=q+2q+2

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Solution for 2q+5=q+2q+2 equation:


Simplifying
2q + 5 = q + 2q + 2

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

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

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

Solving
5 + 2q = 2 + 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.
5 + 2q + -3q = 2 + 3q + -3q

Combine like terms: 2q + -3q = -1q
5 + -1q = 2 + 3q + -3q

Combine like terms: 3q + -3q = 0
5 + -1q = 2 + 0
5 + -1q = 2

Add '-5' to each side of the equation.
5 + -5 + -1q = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -1q = 2 + -5
-1q = 2 + -5

Combine like terms: 2 + -5 = -3
-1q = -3

Divide each side by '-1'.
q = 3

Simplifying
q = 3

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