ax+c=b-x

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Solution for ax+c=b-x equation: 


Simplifying
ax + c = b + -1x

Solving
ax + c = b + -1x

Solving for variable 'a'.

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

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

Combine like terms: c + -1c = 0
ax + 0 = b + -1c + -1x
ax = b + -1c + -1x

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

Simplifying
a = bx-1 + -1cx-1 + -1

Reorder the terms:
a = -1 + bx-1 + -1cx-1

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