xa+b=cx+d

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Solution for xa+b=cx+d equation: 


Simplifying
xa + b = cx + d

Solving
ax + b = cx + 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 = cx + -1b + d

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

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

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

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

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