ab-cx=dx+e

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Solution for ab-cx=dx+e equation: 


Simplifying
ab + -1cx = dx + e

Solving
ab + -1cx = dx + e

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 = dx + cx + e

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

Reorder the terms:
ab = cx + dx + e

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

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

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