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

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

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

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

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

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

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

Solving for variable 'a'.

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

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

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

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

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

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

Combine like terms: 1b + -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.