3(a+2)-2(a+1)=6

Solution for 3(a+2)-2(a+1)=6 equation:

Simplifying
3(a + 2) + -2(a + 1) = 6

Reorder the terms:
3(2 + a) + -2(a + 1) = 6
(2 * 3 + a * 3) + -2(a + 1) = 6
(6 + 3a) + -2(a + 1) = 6

Reorder the terms:
6 + 3a + -2(1 + a) = 6
6 + 3a + (1 * -2 + a * -2) = 6
6 + 3a + (-2 + -2a) = 6

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

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

Combine like terms: 3a + -2a = 1a
4 + 1a = 6

Solving
4 + 1a = 6

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -4 + 1a = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 1a = 6 + -4
1a = 6 + -4

Combine like terms: 6 + -4 = 2
1a = 2

Divide each side by '1'.
a = 2

Simplifying
a = 2