5q+2=3q-10

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Solution for 5q+2=3q-10 equation:


Simplifying
5q + 2 = 3q + -10

Reorder the terms:
2 + 5q = 3q + -10

Reorder the terms:
2 + 5q = -10 + 3q

Solving
2 + 5q = -10 + 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.
2 + 5q + -3q = -10 + 3q + -3q

Combine like terms: 5q + -3q = 2q
2 + 2q = -10 + 3q + -3q

Combine like terms: 3q + -3q = 0
2 + 2q = -10 + 0
2 + 2q = -10

Add '-2' to each side of the equation.
2 + -2 + 2q = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 2q = -10 + -2
2q = -10 + -2

Combine like terms: -10 + -2 = -12
2q = -12

Divide each side by '2'.
q = -6

Simplifying
q = -6

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