(x-3)(a+1)=5

Solution for (x-3)(a+1)=5 equation:

Simplifying
(x + -3)(a + 1) = 5

Reorder the terms:
(-3 + x)(a + 1) = 5

Reorder the terms:
(-3 + x)(1 + a) = 5

Multiply (-3 + x) * (1 + a)
(-3(1 + a) + x(1 + a)) = 5
((1 * -3 + a * -3) + x(1 + a)) = 5
((-3 + -3a) + x(1 + a)) = 5
(-3 + -3a + (1 * x + a * x)) = 5

Reorder the terms:
(-3 + -3a + (ax + 1x)) = 5
(-3 + -3a + (ax + 1x)) = 5
(-3 + -3a + ax + 1x) = 5

Solving
-3 + -3a + ax + 1x = 5

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + -3a + ax + 3 + 1x = 5 + 3

Reorder the terms:
-3 + 3 + -3a + ax + 1x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -3a + ax + 1x = 5 + 3
-3a + ax + 1x = 5 + 3

Combine like terms: 5 + 3 = 8
-3a + ax + 1x = 8

Add '-1x' to each side of the equation.
-3a + ax + 1x + -1x = 8 + -1x

Combine like terms: 1x + -1x = 0
-3a + ax + 0 = 8 + -1x
-3a + ax = 8 + -1x

Reorder the terms:
-8 + -3a + ax + x = 8 + -1x + -8 + x

Reorder the terms:
-8 + -3a + ax + x = 8 + -8 + -1x + x

Combine like terms: 8 + -8 = 0
-8 + -3a + ax + x = 0 + -1x + x
-8 + -3a + ax + x = -1x + x

Combine like terms: -1x + x = 0
-8 + -3a + ax + x = 0

The solution to this equation could not be determined.