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

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


Simplifying
5(3 + -2q) = 2(7 + -1q)
(3 * 5 + -2q * 5) = 2(7 + -1q)
(15 + -10q) = 2(7 + -1q)
15 + -10q = (7 * 2 + -1q * 2)
15 + -10q = (14 + -2q)

Solving
15 + -10q = 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.
15 + -10q + 2q = 14 + -2q + 2q

Combine like terms: -10q + 2q = -8q
15 + -8q = 14 + -2q + 2q

Combine like terms: -2q + 2q = 0
15 + -8q = 14 + 0
15 + -8q = 14

Add '-15' to each side of the equation.
15 + -15 + -8q = 14 + -15

Combine like terms: 15 + -15 = 0
0 + -8q = 14 + -15
-8q = 14 + -15

Combine like terms: 14 + -15 = -1
-8q = -1

Divide each side by '-8'.
q = 0.125

Simplifying
q = 0.125

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