ax+x=r

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Solution for ax+x=r equation: 


Simplifying
ax + x = r

Solving
ax + x = r

Solving for variable 'a'.

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

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

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

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

Simplifying
a = rx-1 + -1

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

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