5[12-(6-3a)-2a]=(-a)

Solution for 5[12-(6-3a)-2a]=(-a) equation:

Simplifying
5[12 + -1(6 + -3a) + -2a] = (-1a)
5[12 + (6 * -1 + -3a * -1) + -2a] = (-1a)
5[12 + (-6 + 3a) + -2a] = (-1a)

Combine like terms: 12 + -6 = 6
5[6 + 3a + -2a] = (-1a)

Combine like terms: 3a + -2a = 1a
5[6 + 1a] = (-1a)
[6 * 5 + 1a * 5] = (-1a)
[30 + 5a] = (-1a)

Solving
30 + 5a = (-1a)

Solving for variable 'a'.

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

Add '(a)' to each side of the equation.
30 + 5a + (a) = (-1a) + (a)
30 + 5a + a = (-1a) + (a)

Combine like terms: 5a + a = 6a
30 + 6a = (-1a) + (a)
30 + 6a = (-1a) + a

Combine like terms: (-1a) + a = 0
30 + 6a = 0

Add '-30' to each side of the equation.
30 + -30 + 6a = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 6a = 0 + -30
6a = 0 + -30

Combine like terms: 0 + -30 = -30
6a = -30

Divide each side by '6'.
a = -5

Simplifying
a = -5