xa+b=ca+d

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Solution for xa+b=ca+d equation:


Simplifying
xa + b = ca + d

Solving
ax + b = ac + d

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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