a(x-2)-b(x-1)=a-b

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Solution for a(x-2)-b(x-1)=a-b equation:


Simplifying
a(x + -2) + -1b(x + -1) = a + -1b

Reorder the terms:
a(-2 + x) + -1b(x + -1) = a + -1b
(-2 * a + x * a) + -1b(x + -1) = a + -1b
(-2a + ax) + -1b(x + -1) = a + -1b

Reorder the terms:
-2a + ax + -1b(-1 + x) = a + -1b
-2a + ax + (-1 * -1b + x * -1b) = a + -1b
-2a + ax + (1b + -1bx) = a + -1b

Solving
-2a + ax + 1b + -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.
-2a + ax + 1b + -1a + -1bx = a + -1a + -1b

Reorder the terms:
-2a + -1a + ax + 1b + -1bx = a + -1a + -1b

Combine like terms: -2a + -1a = -3a
-3a + ax + 1b + -1bx = a + -1a + -1b

Combine like terms: a + -1a = 0
-3a + ax + 1b + -1bx = 0 + -1b
-3a + ax + 1b + -1bx = -1b

Add '-1b' to each side of the equation.
-3a + ax + 1b + -1b + -1bx = -1b + -1b

Combine like terms: 1b + -1b = 0
-3a + ax + 0 + -1bx = -1b + -1b
-3a + ax + -1bx = -1b + -1b

Combine like terms: -1b + -1b = -2b
-3a + ax + -1bx = -2b

Add 'bx' to each side of the equation.
-3a + ax + -1bx + bx = -2b + bx

Combine like terms: -1bx + bx = 0
-3a + ax + 0 = -2b + bx
-3a + ax = -2b + bx

Reorder the terms:
-3a + ax + 2b + -1bx = -2b + 2b + bx + -1bx

Combine like terms: -2b + 2b = 0
-3a + ax + 2b + -1bx = 0 + bx + -1bx
-3a + ax + 2b + -1bx = bx + -1bx

Combine like terms: bx + -1bx = 0
-3a + ax + 2b + -1bx = 0

The solution to this equation could not be determined.

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