a*b+c*x=y*x+x

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Solution for a*b+c*x=y*x+x equation: 


Simplifying
a * b + c * x = y * x + x

Multiply a * b
ab + c * x = y * x + x

Multiply c * x
ab + cx = y * x + x

Multiply y * x
ab + cx = xy + x

Reorder the terms:
ab + cx = x + xy

Solving
ab + cx = x + xy

Solving for variable 'a'.

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

Add '-1cx' to each side of the equation.
ab + cx + -1cx = x + -1cx + xy

Combine like terms: cx + -1cx = 0
ab + 0 = x + -1cx + xy
ab = x + -1cx + xy

Reorder the terms:
ab = -1cx + x + xy

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

Simplifying
a = -1b-1cx + b-1x + b-1xy

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