5(5q+8)=3(8+7q)

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Solution for 5(5q+8)=3(8+7q) equation:


Simplifying
5(5q + 8) = 3(8 + 7q)

Reorder the terms:
5(8 + 5q) = 3(8 + 7q)
(8 * 5 + 5q * 5) = 3(8 + 7q)
(40 + 25q) = 3(8 + 7q)
40 + 25q = (8 * 3 + 7q * 3)
40 + 25q = (24 + 21q)

Solving
40 + 25q = 24 + 21q

Solving for variable 'q'.

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

Add '-21q' to each side of the equation.
40 + 25q + -21q = 24 + 21q + -21q

Combine like terms: 25q + -21q = 4q
40 + 4q = 24 + 21q + -21q

Combine like terms: 21q + -21q = 0
40 + 4q = 24 + 0
40 + 4q = 24

Add '-40' to each side of the equation.
40 + -40 + 4q = 24 + -40

Combine like terms: 40 + -40 = 0
0 + 4q = 24 + -40
4q = 24 + -40

Combine like terms: 24 + -40 = -16
4q = -16

Divide each side by '4'.
q = -4

Simplifying
q = -4

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