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

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

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

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

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

Solving
1a + ax = -2b + bx

Solving for variable 'a'.

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

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

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

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

The solution to this equation could not be determined.