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

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


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

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

Reorder the terms:
-10 + -2q = 3(6 + q)
-10 + -2q = (6 * 3 + q * 3)
-10 + -2q = (18 + 3q)

Solving
-10 + -2q = 18 + 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.
-10 + -2q + -3q = 18 + 3q + -3q

Combine like terms: -2q + -3q = -5q
-10 + -5q = 18 + 3q + -3q

Combine like terms: 3q + -3q = 0
-10 + -5q = 18 + 0
-10 + -5q = 18

Add '10' to each side of the equation.
-10 + 10 + -5q = 18 + 10

Combine like terms: -10 + 10 = 0
0 + -5q = 18 + 10
-5q = 18 + 10

Combine like terms: 18 + 10 = 28
-5q = 28

Divide each side by '-5'.
q = -5.6

Simplifying
q = -5.6

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