5q-6=8(q+3)

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Solution for 5q-6=8(q+3) equation:


Simplifying
5q + -6 = 8(q + 3)

Reorder the terms:
-6 + 5q = 8(q + 3)

Reorder the terms:
-6 + 5q = 8(3 + q)
-6 + 5q = (3 * 8 + q * 8)
-6 + 5q = (24 + 8q)

Solving
-6 + 5q = 24 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
-6 + 5q + -8q = 24 + 8q + -8q

Combine like terms: 5q + -8q = -3q
-6 + -3q = 24 + 8q + -8q

Combine like terms: 8q + -8q = 0
-6 + -3q = 24 + 0
-6 + -3q = 24

Add '6' to each side of the equation.
-6 + 6 + -3q = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -3q = 24 + 6
-3q = 24 + 6

Combine like terms: 24 + 6 = 30
-3q = 30

Divide each side by '-3'.
q = -10

Simplifying
q = -10

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