ax+by=cx+d

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Solution for ax+by=cx+d equation: 


Simplifying
ax + by = cx + d

Solving
ax + by = cx + d

Solving for variable 'a'.

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

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

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

Reorder the terms:
ax = -1by + cx + d

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

Simplifying
a = -1bx-1y + c + dx-1

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