ax-by=cx

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Solution for ax-by=cx equation: 


Simplifying
ax + -1by = cx

Solving
ax + -1by = cx

Solving for variable 'a'.

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

Add 'by' to each side of the equation.
ax + -1by + by = by + cx

Combine like terms: -1by + by = 0
ax + 0 = by + cx
ax = by + cx

Divide each side by 'x'.
a = bx-1y + c

Simplifying
a = bx-1y + c

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