Px+ax=r

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Solution for Px+ax=r equation: 


Simplifying
Px + ax = r

Reorder the terms:
ax + xP = r

Solving
ax + xP = r

Solving for variable 'a'.

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

Add '-1xP' to each side of the equation.
ax + xP + -1xP = r + -1xP

Combine like terms: xP + -1xP = 0
ax + 0 = r + -1xP
ax = r + -1xP

Divide each side by 'x'.
a = rx-1 + -1P

Simplifying
a = rx-1 + -1P

Reorder the terms:
a = -1P + rx-1

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