(a+5)*3-3*(4-a)=

Solution for (a+5)*3-3*(4-a)= equation:

Simplifying
(a + 5) * 3 + -3(4 + -1a) = 0

Reorder the terms:
(5 + a) * 3 + -3(4 + -1a) = 0

Reorder the terms for easier multiplication:
3(5 + a) + -3(4 + -1a) = 0
(5 * 3 + a * 3) + -3(4 + -1a) = 0
(15 + 3a) + -3(4 + -1a) = 0
15 + 3a + (4 * -3 + -1a * -3) = 0
15 + 3a + (-12 + 3a) = 0

Reorder the terms:
15 + -12 + 3a + 3a = 0

Combine like terms: 15 + -12 = 3
3 + 3a + 3a = 0

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

Solving
3 + 6a = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 6a = 0 + -3

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

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

Divide each side by '6'.
a = -0.5

Simplifying
a = -0.5