12(5q+2)=4(2q+5)

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Solution for 12(5q+2)=4(2q+5) equation:


Simplifying
12(5q + 2) = 4(2q + 5)

Reorder the terms:
12(2 + 5q) = 4(2q + 5)
(2 * 12 + 5q * 12) = 4(2q + 5)
(24 + 60q) = 4(2q + 5)

Reorder the terms:
24 + 60q = 4(5 + 2q)
24 + 60q = (5 * 4 + 2q * 4)
24 + 60q = (20 + 8q)

Solving
24 + 60q = 20 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
24 + 60q + -8q = 20 + 8q + -8q

Combine like terms: 60q + -8q = 52q
24 + 52q = 20 + 8q + -8q

Combine like terms: 8q + -8q = 0
24 + 52q = 20 + 0
24 + 52q = 20

Add '-24' to each side of the equation.
24 + -24 + 52q = 20 + -24

Combine like terms: 24 + -24 = 0
0 + 52q = 20 + -24
52q = 20 + -24

Combine like terms: 20 + -24 = -4
52q = -4

Divide each side by '52'.
q = -0.07692307692

Simplifying
q = -0.07692307692

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