A(bx+c)=d

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Solution for A(bx+c)=d equation: 


Simplifying
A(bx + c) = d
(bx * A + c * A) = d
(bxA + cA) = d

Solving
bxA + cA = d

Solving for variable 'b'.

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

Add '-1cA' to each side of the equation.
bxA + cA + -1cA = -1cA + d

Combine like terms: cA + -1cA = 0
bxA + 0 = -1cA + d
bxA = -1cA + d

Divide each side by 'xA'.
b = -1cx-1 + dx-1A-1

Simplifying
b = -1cx-1 + dx-1A-1

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