a(x+1)-3=a+2

Solution for a(x+1)-3=a+2 equation:

Simplifying
a(x + 1) + -3 = a + 2

Reorder the terms:
a(1 + x) + -3 = a + 2
(1 * a + x * a) + -3 = a + 2
(1a + ax) + -3 = a + 2

Reorder the terms:
-3 + 1a + ax = a + 2

Reorder the terms:
-3 + 1a + ax = 2 + a

Solving
-3 + 1a + ax = 2 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-3 + 1a + -1a + ax = 2 + a + -1a

Combine like terms: 1a + -1a = 0
-3 + 0 + ax = 2 + a + -1a
-3 + ax = 2 + a + -1a

Combine like terms: a + -1a = 0
-3 + ax = 2 + 0
-3 + ax = 2

Add '3' to each side of the equation.
-3 + 3 + ax = 2 + 3

Combine like terms: -3 + 3 = 0
0 + ax = 2 + 3
ax = 2 + 3

Combine like terms: 2 + 3 = 5
ax = 5

Divide each side by 'x'.
a = 5x-1

Simplifying
a = 5x-1