3(a+2)+2(a-1)=8

Solution for 3(a+2)+2(a-1)=8 equation:

Simplifying
3(a + 2) + 2(a + -1) = 8

Reorder the terms:
3(2 + a) + 2(a + -1) = 8
(2 * 3 + a * 3) + 2(a + -1) = 8
(6 + 3a) + 2(a + -1) = 8

Reorder the terms:
6 + 3a + 2(-1 + a) = 8
6 + 3a + (-1 * 2 + a * 2) = 8
6 + 3a + (-2 + 2a) = 8

Reorder the terms:
6 + -2 + 3a + 2a = 8

Combine like terms: 6 + -2 = 4
4 + 3a + 2a = 8

Combine like terms: 3a + 2a = 5a
4 + 5a = 8

Solving
4 + 5a = 8

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 + 5a = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 5a = 8 + -4
5a = 8 + -4

Combine like terms: 8 + -4 = 4
5a = 4

Divide each side by '5'.
a = 0.8

Simplifying
a = 0.8