xq+rx=s

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Solution for xq+rx=s equation: 


Simplifying
xq + rx = s

Solving
qx + rx = s

Solving for variable 'q'.

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

Add '-1rx' to each side of the equation.
qx + rx + -1rx = -1rx + s

Combine like terms: rx + -1rx = 0
qx + 0 = -1rx + s
qx = -1rx + s

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

Simplifying
q = -1r + sx-1

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