5(12-(6-3a)-2a)=1(1-a)

Solution for 5(12-(6-3a)-2a)=1(1-a) equation:

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

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

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

Solving
30 + 5a = 1 + -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 = 1 + -1a + a

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

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

Add '-30' to each side of the equation.
30 + -30 + 6a = 1 + -30

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

Combine like terms: 1 + -30 = -29
6a = -29

Divide each side by '6'.
a = -4.833333333

Simplifying
a = -4.833333333