3(2q-5)=-2(3q+7)

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Solution for 3(2q-5)=-2(3q+7) equation:


Simplifying
3(2q + -5) = -2(3q + 7)

Reorder the terms:
3(-5 + 2q) = -2(3q + 7)
(-5 * 3 + 2q * 3) = -2(3q + 7)
(-15 + 6q) = -2(3q + 7)

Reorder the terms:
-15 + 6q = -2(7 + 3q)
-15 + 6q = (7 * -2 + 3q * -2)
-15 + 6q = (-14 + -6q)

Solving
-15 + 6q = -14 + -6q

Solving for variable 'q'.

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

Add '6q' to each side of the equation.
-15 + 6q + 6q = -14 + -6q + 6q

Combine like terms: 6q + 6q = 12q
-15 + 12q = -14 + -6q + 6q

Combine like terms: -6q + 6q = 0
-15 + 12q = -14 + 0
-15 + 12q = -14

Add '15' to each side of the equation.
-15 + 15 + 12q = -14 + 15

Combine like terms: -15 + 15 = 0
0 + 12q = -14 + 15
12q = -14 + 15

Combine like terms: -14 + 15 = 1
12q = 1

Divide each side by '12'.
q = 0.08333333333

Simplifying
q = 0.08333333333

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