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

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

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

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

Reorder the terms:
2 + 2a + -3(-3 + 2a) = 3
2 + 2a + (-3 * -3 + 2a * -3) = 3
2 + 2a + (9 + -6a) = 3

Reorder the terms:
2 + 9 + 2a + -6a = 3

Combine like terms: 2 + 9 = 11
11 + 2a + -6a = 3

Combine like terms: 2a + -6a = -4a
11 + -4a = 3

Solving
11 + -4a = 3

Solving for variable 'a'.

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

Add '-11' to each side of the equation.
11 + -11 + -4a = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -4a = 3 + -11
-4a = 3 + -11

Combine like terms: 3 + -11 = -8
-4a = -8

Divide each side by '-4'.
a = 2

Simplifying
a = 2