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

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

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

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

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

Solving
30 + 5a = 2 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
30 + 5a + 2a = 2 + -2a + 2a

Combine like terms: 5a + 2a = 7a
30 + 7a = 2 + -2a + 2a

Combine like terms: -2a + 2a = 0
30 + 7a = 2 + 0
30 + 7a = 2

Add '-30' to each side of the equation.
30 + -30 + 7a = 2 + -30

Combine like terms: 30 + -30 = 0
0 + 7a = 2 + -30
7a = 2 + -30

Combine like terms: 2 + -30 = -28
7a = -28

Divide each side by '7'.
a = -4

Simplifying
a = -4