3(a+2)+2a=-(3a+5)+8

Solution for 3(a+2)+2a=-(3a+5)+8 equation:

Simplifying
3(a + 2) + 2a = -1(3a + 5) + 8

Reorder the terms:
3(2 + a) + 2a = -1(3a + 5) + 8
(2 * 3 + a * 3) + 2a = -1(3a + 5) + 8
(6 + 3a) + 2a = -1(3a + 5) + 8

Combine like terms: 3a + 2a = 5a
6 + 5a = -1(3a + 5) + 8

Reorder the terms:
6 + 5a = -1(5 + 3a) + 8
6 + 5a = (5 * -1 + 3a * -1) + 8
6 + 5a = (-5 + -3a) + 8

Reorder the terms:
6 + 5a = -5 + 8 + -3a

Combine like terms: -5 + 8 = 3
6 + 5a = 3 + -3a

Solving
6 + 5a = 3 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
6 + 5a + 3a = 3 + -3a + 3a

Combine like terms: 5a + 3a = 8a
6 + 8a = 3 + -3a + 3a

Combine like terms: -3a + 3a = 0
6 + 8a = 3 + 0
6 + 8a = 3

Add '-6' to each side of the equation.
6 + -6 + 8a = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 8a = 3 + -6
8a = 3 + -6

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

Divide each side by '8'.
a = -0.375

Simplifying
a = -0.375