a+b(a-3)=(a+5)-(a+2)

Solution for a+b(a-3)=(a+5)-(a+2) equation:

Simplifying
a + b(a + -3) = (a + 5) + -1(a + 2)

Reorder the terms:
a + b(-3 + a) = (a + 5) + -1(a + 2)
a + (-3 * b + a * b) = (a + 5) + -1(a + 2)

Reorder the terms:
a + (ab + -3b) = (a + 5) + -1(a + 2)
a + (ab + -3b) = (a + 5) + -1(a + 2)

Reorder the terms:
a + ab + -3b = (5 + a) + -1(a + 2)

Remove parenthesis around (5 + a)
a + ab + -3b = 5 + a + -1(a + 2)

Reorder the terms:
a + ab + -3b = 5 + a + -1(2 + a)
a + ab + -3b = 5 + a + (2 * -1 + a * -1)
a + ab + -3b = 5 + a + (-2 + -1a)

Reorder the terms:
a + ab + -3b = 5 + -2 + a + -1a

Combine like terms: 5 + -2 = 3
a + ab + -3b = 3 + a + -1a

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

Solving
a + ab + -3b = 3

Solving for variable 'a'.

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

Add '3b' to each side of the equation.
a + ab + -3b + 3b = 3 + 3b

Combine like terms: -3b + 3b = 0
a + ab + 0 = 3 + 3b
a + ab = 3 + 3b

Reorder the terms:
-3 + a + ab + -3b = 3 + 3b + -3 + -3b

Reorder the terms:
-3 + a + ab + -3b = 3 + -3 + 3b + -3b

Combine like terms: 3 + -3 = 0
-3 + a + ab + -3b = 0 + 3b + -3b
-3 + a + ab + -3b = 3b + -3b

Combine like terms: 3b + -3b = 0
-3 + a + ab + -3b = 0

The solution to this equation could not be determined.