5(2q-3)=3q+6

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


Simplifying
5(2q + -3) = 3q + 6

Reorder the terms:
5(-3 + 2q) = 3q + 6
(-3 * 5 + 2q * 5) = 3q + 6
(-15 + 10q) = 3q + 6

Reorder the terms:
-15 + 10q = 6 + 3q

Solving
-15 + 10q = 6 + 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.
-15 + 10q + -3q = 6 + 3q + -3q

Combine like terms: 10q + -3q = 7q
-15 + 7q = 6 + 3q + -3q

Combine like terms: 3q + -3q = 0
-15 + 7q = 6 + 0
-15 + 7q = 6

Add '15' to each side of the equation.
-15 + 15 + 7q = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 7q = 6 + 15
7q = 6 + 15

Combine like terms: 6 + 15 = 21
7q = 21

Divide each side by '7'.
q = 3

Simplifying
q = 3

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