ab-cx=dx+b

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Solution for ab-cx=dx+b equation: 


Simplifying
ab + -1cx = dx + b

Reorder the terms:
ab + -1cx = b + dx

Solving
ab + -1cx = b + dx

Solving for variable 'a'.

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

Add 'cx' to each side of the equation.
ab + -1cx + cx = b + cx + dx

Combine like terms: -1cx + cx = 0
ab + 0 = b + cx + dx
ab = b + cx + dx

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

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

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