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

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

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

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

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

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

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

Solving
ax + -1x = ab + 2b

Solving for variable 'a'.

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

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

Reorder the terms:
-1ab + ax + -1x = ab + -1ab + 2b

Combine like terms: ab + -1ab = 0
-1ab + ax + -1x = 0 + 2b
-1ab + ax + -1x = 2b

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

Combine like terms: -1x + x = 0
-1ab + ax + 0 = 2b + x
-1ab + ax = 2b + x

Reorder the terms:
-1ab + ax + -2b + -1x = 2b + -2b + x + -1x

Combine like terms: 2b + -2b = 0
-1ab + ax + -2b + -1x = 0 + x + -1x
-1ab + ax + -2b + -1x = x + -1x

Combine like terms: x + -1x = 0
-1ab + ax + -2b + -1x = 0

The solution to this equation could not be determined.