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

Solution for 3(a+1)+2a=-(3a+5)+8 equation:

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

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

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

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

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

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

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

Combine like terms: 3 + -3 = 0
0 + 5a = 3 + -3 + -3a
5a = 3 + -3 + -3a

Combine like terms: 3 + -3 = 0
5a = 0 + -3a
5a = -3a

Solving
5a = -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.
5a + 3a = -3a + 3a

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

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

Divide each side by '8'.
a = 0

Simplifying
a = 0