5q-8=2q-20

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Solution for 5q-8=2q-20 equation:


Simplifying
5q + -8 = 2q + -20

Reorder the terms:
-8 + 5q = 2q + -20

Reorder the terms:
-8 + 5q = -20 + 2q

Solving
-8 + 5q = -20 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
-8 + 5q + -2q = -20 + 2q + -2q

Combine like terms: 5q + -2q = 3q
-8 + 3q = -20 + 2q + -2q

Combine like terms: 2q + -2q = 0
-8 + 3q = -20 + 0
-8 + 3q = -20

Add '8' to each side of the equation.
-8 + 8 + 3q = -20 + 8

Combine like terms: -8 + 8 = 0
0 + 3q = -20 + 8
3q = -20 + 8

Combine like terms: -20 + 8 = -12
3q = -12

Divide each side by '3'.
q = -4

Simplifying
q = -4

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