px+qX=r+1

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Solution for px+qX=r+1 equation: 


Simplifying
px + qX = r + 1

Reorder the terms:
px + qX = 1 + r

Solving
px + qX = 1 + r

Solving for variable 'p'.

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

Add '-1qX' to each side of the equation.
px + qX + -1qX = 1 + -1qX + r

Combine like terms: qX + -1qX = 0
px + 0 = 1 + -1qX + r
px = 1 + -1qX + r

Divide each side by 'x'.
p = x-1 + -1qx-1X + rx-1

Simplifying
p = x-1 + -1qx-1X + rx-1

Reorder the terms:
p = -1qx-1X + rx-1 + x-1

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