ax-bx=(a-b)

Solution for ax-bx=(a-b) equation:

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

Remove parenthesis around (a + -1b)
ax + -1bx = a + -1b

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

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 + -1b

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

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

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

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

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

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

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

The solution to this equation could not be determined.