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

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

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

Reorder the terms:
3(8 + a) = 2[a + -1(5 + -1a)]
(8 * 3 + a * 3) = 2[a + -1(5 + -1a)]
(24 + 3a) = 2[a + -1(5 + -1a)]
24 + 3a = 2[a + (5 * -1 + -1a * -1)]
24 + 3a = 2[a + (-5 + 1a)]

Reorder the terms:
24 + 3a = 2[-5 + a + 1a]

Combine like terms: a + 1a = 2a
24 + 3a = 2[-5 + 2a]
24 + 3a = [-5 * 2 + 2a * 2]
24 + 3a = [-10 + 4a]

Solving
24 + 3a = -10 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
24 + 3a + -4a = -10 + 4a + -4a

Combine like terms: 3a + -4a = -1a
24 + -1a = -10 + 4a + -4a

Combine like terms: 4a + -4a = 0
24 + -1a = -10 + 0
24 + -1a = -10

Add '-24' to each side of the equation.
24 + -24 + -1a = -10 + -24

Combine like terms: 24 + -24 = 0
0 + -1a = -10 + -24
-1a = -10 + -24

Combine like terms: -10 + -24 = -34
-1a = -34

Divide each side by '-1'.
a = 34

Simplifying
a = 34