3q-2=5q+10

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


Simplifying
3q + -2 = 5q + 10

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

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

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

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

Combine like terms: 5q + -5q = 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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