A(x+b)=3x+12

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Solution for A(x+b)=3x+12 equation: 


Simplifying
A(x + b) = 3x + 12

Reorder the terms:
A(b + x) = 3x + 12
(b * A + x * A) = 3x + 12
(bA + xA) = 3x + 12

Reorder the terms:
bA + xA = 12 + 3x

Solving
bA + xA = 12 + 3x

Solving for variable 'b'.

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

Add '-1xA' to each side of the equation.
bA + xA + -1xA = 12 + 3x + -1xA

Combine like terms: xA + -1xA = 0
bA + 0 = 12 + 3x + -1xA
bA = 12 + 3x + -1xA

Divide each side by 'A'.
b = 12A-1 + 3xA-1 + -1x

Simplifying
b = 12A-1 + 3xA-1 + -1x

Reorder the terms:
b = 12A-1 + -1x + 3xA-1

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