5+3(q-4)=2(q+7)

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Solution for 5+3(q-4)=2(q+7) equation:


Simplifying
5 + 3(q + -4) = 2(q + 7)

Reorder the terms:
5 + 3(-4 + q) = 2(q + 7)
5 + (-4 * 3 + q * 3) = 2(q + 7)
5 + (-12 + 3q) = 2(q + 7)

Combine like terms: 5 + -12 = -7
-7 + 3q = 2(q + 7)

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

Solving
-7 + 3q = 14 + 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.
-7 + 3q + -2q = 14 + 2q + -2q

Combine like terms: 3q + -2q = 1q
-7 + 1q = 14 + 2q + -2q

Combine like terms: 2q + -2q = 0
-7 + 1q = 14 + 0
-7 + 1q = 14

Add '7' to each side of the equation.
-7 + 7 + 1q = 14 + 7

Combine like terms: -7 + 7 = 0
0 + 1q = 14 + 7
1q = 14 + 7

Combine like terms: 14 + 7 = 21
1q = 21

Divide each side by '1'.
q = 21

Simplifying
q = 21

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