5(5q+5)=6(6q-5)

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Solution for 5(5q+5)=6(6q-5) equation: 


Simplifying
5(5q + 5) = 6(6q + -5)

Reorder the terms:
5(5 + 5q) = 6(6q + -5)
(5 * 5 + 5q * 5) = 6(6q + -5)
(25 + 25q) = 6(6q + -5)

Reorder the terms:
25 + 25q = 6(-5 + 6q)
25 + 25q = (-5 * 6 + 6q * 6)
25 + 25q = (-30 + 36q)

Solving
25 + 25q = -30 + 36q

Solving for variable 'q'.

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

Add '-36q' to each side of the equation.
25 + 25q + -36q = -30 + 36q + -36q

Combine like terms: 25q + -36q = -11q
25 + -11q = -30 + 36q + -36q

Combine like terms: 36q + -36q = 0
25 + -11q = -30 + 0
25 + -11q = -30

Add '-25' to each side of the equation.
25 + -25 + -11q = -30 + -25

Combine like terms: 25 + -25 = 0
0 + -11q = -30 + -25
-11q = -30 + -25

Combine like terms: -30 + -25 = -55
-11q = -55

Divide each side by '-11'.
q = 5

Simplifying
q = 5

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