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

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


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

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

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

Solving
-15 + 3q = 10 + 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.
-15 + 3q + -2q = 10 + 2q + -2q

Combine like terms: 3q + -2q = 1q
-15 + 1q = 10 + 2q + -2q

Combine like terms: 2q + -2q = 0
-15 + 1q = 10 + 0
-15 + 1q = 10

Add '15' to each side of the equation.
-15 + 15 + 1q = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 1q = 10 + 15
1q = 10 + 15

Combine like terms: 10 + 15 = 25
1q = 25

Divide each side by '1'.
q = 25

Simplifying
q = 25

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