ax+b=ycx+d

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Solution for ax+b=ycx+d equation: 


Simplifying
ax + b = ycx + d

Solving
ax + b = cxy + d

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
ax + b + -1b = cxy + -1b + d

Combine like terms: b + -1b = 0
ax + 0 = cxy + -1b + d
ax = cxy + -1b + d

Reorder the terms:
ax = -1b + cxy + d

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

Simplifying
a = -1bx-1 + cy + dx-1

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