3(9-5)=2(q+5)

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Solution for 3(9-5)=2(q+5) equation: 


Simplifying
3(9 + -5) = 2(q + 5)

Combine like terms: 9 + -5 = 4
3(4) = 2(q + 5)

Multiply 3 * 4
12 = 2(q + 5)

Reorder the terms:
12 = 2(5 + q)
12 = (5 * 2 + q * 2)
12 = (10 + 2q)

Solving
12 = 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.
12 + -2q = 10 + 2q + -2q

Combine like terms: 2q + -2q = 0
12 + -2q = 10 + 0
12 + -2q = 10

Add '-12' to each side of the equation.
12 + -12 + -2q = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -2q = 10 + -12
-2q = 10 + -12

Combine like terms: 10 + -12 = -2
-2q = -2

Divide each side by '-2'.
q = 1

Simplifying
q = 1

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