ax-a+5=bx-b

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Solution for ax-a+5=bx-b equation:


Simplifying
ax + -1a + 5 = bx + -1b

Reorder the terms:
5 + -1a + ax = bx + -1b

Reorder the terms:
5 + -1a + ax = -1b + bx

Solving
5 + -1a + ax = -1b + bx

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -1a + -5 + ax = -1b + -5 + bx

Reorder the terms:
5 + -5 + -1a + ax = -1b + -5 + bx

Combine like terms: 5 + -5 = 0
0 + -1a + ax = -1b + -5 + bx
-1a + ax = -1b + -5 + bx

Reorder the terms:
-1a + ax = -5 + -1b + bx

Reorder the terms:
5 + -1a + ax + b + -1bx = -5 + -1b + bx + 5 + b + -1bx

Reorder the terms:
5 + -1a + ax + b + -1bx = -5 + 5 + -1b + b + bx + -1bx

Combine like terms: -5 + 5 = 0
5 + -1a + ax + b + -1bx = 0 + -1b + b + bx + -1bx
5 + -1a + ax + b + -1bx = -1b + b + bx + -1bx

Combine like terms: -1b + b = 0
5 + -1a + ax + b + -1bx = 0 + bx + -1bx
5 + -1a + ax + b + -1bx = bx + -1bx

Combine like terms: bx + -1bx = 0
5 + -1a + ax + b + -1bx = 0

The solution to this equation could not be determined.

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