12-0.7(q-5)=0.5(4q-5)

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Solution for 12-0.7(q-5)=0.5(4q-5) equation: 


Simplifying
12 + -0.7(q + -5) = 0.5(4q + -5)

Reorder the terms:
12 + -0.7(-5 + q) = 0.5(4q + -5)
12 + (-5 * -0.7 + q * -0.7) = 0.5(4q + -5)
12 + (3.5 + -0.7q) = 0.5(4q + -5)

Combine like terms: 12 + 3.5 = 15.5
15.5 + -0.7q = 0.5(4q + -5)

Reorder the terms:
15.5 + -0.7q = 0.5(-5 + 4q)
15.5 + -0.7q = (-5 * 0.5 + 4q * 0.5)
15.5 + -0.7q = (-2.5 + 2q)

Solving
15.5 + -0.7q = -2.5 + 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.
15.5 + -0.7q + -2q = -2.5 + 2q + -2q

Combine like terms: -0.7q + -2q = -2.7q
15.5 + -2.7q = -2.5 + 2q + -2q

Combine like terms: 2q + -2q = 0
15.5 + -2.7q = -2.5 + 0
15.5 + -2.7q = -2.5

Add '-15.5' to each side of the equation.
15.5 + -15.5 + -2.7q = -2.5 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + -2.7q = -2.5 + -15.5
-2.7q = -2.5 + -15.5

Combine like terms: -2.5 + -15.5 = -18
-2.7q = -18

Divide each side by '-2.7'.
q = 6.666666667

Simplifying
q = 6.666666667

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