uk+uv=x

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Solution for uk+uv=x equation: 


Simplifying
uk + uv = x

Solving
ku + uv = x

Solving for variable 'k'.

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

Add '-1uv' to each side of the equation.
ku + uv + -1uv = -1uv + x

Combine like terms: uv + -1uv = 0
ku + 0 = -1uv + x
ku = -1uv + x

Divide each side by 'u'.
k = -1v + u-1x

Simplifying
k = -1v + u-1x

Reorder the terms:
k = u-1x + -1v

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