A(x+a)=b

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Solution for A(x+a)=b equation: 


Simplifying
A(x + a) = b

Reorder the terms:
A(a + x) = b
(a * A + x * A) = b
(aA + xA) = b

Solving
aA + xA = b

Solving for variable 'a'.

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

Add '-1xA' to each side of the equation.
aA + xA + -1xA = b + -1xA

Combine like terms: xA + -1xA = 0
aA + 0 = b + -1xA
aA = b + -1xA

Divide each side by 'A'.
a = bA-1 + -1x

Simplifying
a = bA-1 + -1x

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