ax-bx=a+b

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Solution for ax-bx=a+b equation:


Simplifying
ax + -1bx = a + b

Solving
ax + -1bx = a + b

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 + -1bx = a + -1a + b

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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