(5a+2)5=(2a-8)2

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Solution for (5a+2)5=(2a-8)2 equation:


Simplifying
(5a + 2) * 5 = (2a + -8) * 2

Reorder the terms:
(2 + 5a) * 5 = (2a + -8) * 2

Reorder the terms for easier multiplication:
5(2 + 5a) = (2a + -8) * 2
(2 * 5 + 5a * 5) = (2a + -8) * 2
(10 + 25a) = (2a + -8) * 2

Reorder the terms:
10 + 25a = (-8 + 2a) * 2

Reorder the terms for easier multiplication:
10 + 25a = 2(-8 + 2a)
10 + 25a = (-8 * 2 + 2a * 2)
10 + 25a = (-16 + 4a)

Solving
10 + 25a = -16 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
10 + 25a + -4a = -16 + 4a + -4a

Combine like terms: 25a + -4a = 21a
10 + 21a = -16 + 4a + -4a

Combine like terms: 4a + -4a = 0
10 + 21a = -16 + 0
10 + 21a = -16

Add '-10' to each side of the equation.
10 + -10 + 21a = -16 + -10

Combine like terms: 10 + -10 = 0
0 + 21a = -16 + -10
21a = -16 + -10

Combine like terms: -16 + -10 = -26
21a = -26

Divide each side by '21'.
a = -1.238095238

Simplifying
a = -1.238095238

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