xa+c=xb+d

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Solution for xa+c=xb+d equation: 


Simplifying
xa + c = xb + d

Solving
ax + c = bx + d

Solving for variable 'a'.

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

Add '-1c' to each side of the equation.
ax + c + -1c = bx + -1c + d

Combine like terms: c + -1c = 0
ax + 0 = bx + -1c + d
ax = bx + -1c + d

Divide each side by 'x'.
a = b + -1cx-1 + dx-1

Simplifying
a = b + -1cx-1 + dx-1

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