# a(x-a)=b(x-b)

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## Solution for a(x-a)=b(x-b) equation:

Simplifying
a(x + -1a) = b(x + -1b)
Reorder the terms:
a(-1a + x) = b(x + -1b)
(-1a * a + x * a) = b(x + -1b)
Reorder the terms:
(ax + -1a2) = b(x + -1b)
(ax + -1a2) = b(x + -1b)
Reorder the terms:
ax + -1a2 = b(-1b + x)
ax + -1a2 = (-1b * b + x * b)
Reorder the terms:
ax + -1a2 = (bx + -1b2)
ax + -1a2 = (bx + -1b2)
Solving
ax + -1a2 = bx + -1b2
Solving for variable 'a'.
Reorder the terms:
ax + -1a2 + -1bx + b2 = bx + -1bx + -1b2 + b2
Combine like terms: bx + -1bx = 0
ax + -1a2 + -1bx + b2 = 0 + -1b2 + b2
ax + -1a2 + -1bx + b2 = -1b2 + b2
Combine like terms: -1b2 + b2 = 0
ax + -1a2 + -1bx + b2 = 0
The solution to this equation could not be determined.`

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