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

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


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

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

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

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

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

Combine like terms: 3q + -3q = 0
-10 + -1q = 15 + 0
-10 + -1q = 15

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

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

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

Divide each side by '-1'.
q = -25

Simplifying
q = -25

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