x(p+q)=r

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Solution for x(p+q)=r equation: 


Simplifying
x(p + q) = r
(p * x + q * x) = r
(px + qx) = r

Solving
px + qx = 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 = -1qx + r

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

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

Simplifying
p = -1q + rx-1

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