x+qx=r

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Solution for x+qx=r equation: 


Simplifying
x + qx = r

Reorder the terms:
qx + x = r

Solving
qx + x = r

Solving for variable 'q'.

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

Add '-1x' to each side of the equation.
qx + x + -1x = r + -1x

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

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

Simplifying
q = rx-1 + -1

Reorder the terms:
q = -1 + rx-1

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