ax-b=bx

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Solution for ax-b=bx equation: 


Simplifying
ax + -1b = bx

Solving
ax + -1b = bx

Solving for variable 'a'.

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

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

Combine like terms: -1b + b = 0
ax + 0 = b + bx
ax = b + bx

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

Simplifying
a = bx-1 + b

Reorder the terms:
a = b + bx-1

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