2q+3=6q-5

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


Simplifying
2q + 3 = 6q + -5

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

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

Solving
3 + 2q = -5 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
3 + 2q + -6q = -5 + 6q + -6q

Combine like terms: 2q + -6q = -4q
3 + -4q = -5 + 6q + -6q

Combine like terms: 6q + -6q = 0
3 + -4q = -5 + 0
3 + -4q = -5

Add '-3' to each side of the equation.
3 + -3 + -4q = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -4q = -5 + -3
-4q = -5 + -3

Combine like terms: -5 + -3 = -8
-4q = -8

Divide each side by '-4'.
q = 2

Simplifying
q = 2

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