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

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


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

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

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

Combine like terms: 2q + -3q = -1q
15 + -1q = (q + 2) + -7

Reorder the terms:
15 + -1q = (2 + q) + -7

Remove parenthesis around (2 + q)
15 + -1q = 2 + q + -7

Reorder the terms:
15 + -1q = 2 + -7 + q

Combine like terms: 2 + -7 = -5
15 + -1q = -5 + q

Solving
15 + -1q = -5 + q

Solving for variable 'q'.

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

Add '-1q' to each side of the equation.
15 + -1q + -1q = -5 + q + -1q

Combine like terms: -1q + -1q = -2q
15 + -2q = -5 + q + -1q

Combine like terms: q + -1q = 0
15 + -2q = -5 + 0
15 + -2q = -5

Add '-15' to each side of the equation.
15 + -15 + -2q = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -2q = -5 + -15
-2q = -5 + -15

Combine like terms: -5 + -15 = -20
-2q = -20

Divide each side by '-2'.
q = 10

Simplifying
q = 10

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