ax-b=a-bx

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Solution for ax-b=a-bx equation:


Simplifying
ax + -1b = a + -1bx

Solving
ax + -1b = a + -1bx

Solving for variable 'a'.

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

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

Reorder the terms:
-1a + ax + -1b = a + -1a + -1bx

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

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

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

Reorder the terms:
-1a + ax + -1b + bx = b + -1b + -1bx + bx

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

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

The solution to this equation could not be determined.

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