2a(x-a)=5(x-3)+a

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Solution for 2a(x-a)=5(x-3)+a equation: 


Simplifying
2a(x + -1a) = 5(x + -3) + a

Reorder the terms:
2a(-1a + x) = 5(x + -3) + a
(-1a * 2a + x * 2a) = 5(x + -3) + a

Reorder the terms:
(2ax + -2a2) = 5(x + -3) + a
(2ax + -2a2) = 5(x + -3) + a

Reorder the terms:
2ax + -2a2 = 5(-3 + x) + a
2ax + -2a2 = (-3 * 5 + x * 5) + a
2ax + -2a2 = (-15 + 5x) + a

Reorder the terms:
2ax + -2a2 = -15 + a + 5x

Solving
2ax + -2a2 = -15 + a + 5x

Solving for variable 'a'.

Reorder the terms:
15 + -1a + 2ax + -2a2 + -5x = -15 + a + 5x + 15 + -1a + -5x

Reorder the terms:
15 + -1a + 2ax + -2a2 + -5x = -15 + 15 + a + -1a + 5x + -5x

Combine like terms: -15 + 15 = 0
15 + -1a + 2ax + -2a2 + -5x = 0 + a + -1a + 5x + -5x
15 + -1a + 2ax + -2a2 + -5x = a + -1a + 5x + -5x

Combine like terms: a + -1a = 0
15 + -1a + 2ax + -2a2 + -5x = 0 + 5x + -5x
15 + -1a + 2ax + -2a2 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -1a + 2ax + -2a2 + -5x = 0

The solution to this equation could not be determined.

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