15[12-(6-3a)-2a]=2(1-a)

Solution for 15[12-(6-3a)-2a]=2(1-a) equation:

Simplifying
15[12 + -1(6 + -3a) + -2a] = 2(1 + -1a)
15[12 + (6 * -1 + -3a * -1) + -2a] = 2(1 + -1a)
15[12 + (-6 + 3a) + -2a] = 2(1 + -1a)

Combine like terms: 12 + -6 = 6
15[6 + 3a + -2a] = 2(1 + -1a)

Combine like terms: 3a + -2a = 1a
15[6 + 1a] = 2(1 + -1a)
[6 * 15 + 1a * 15] = 2(1 + -1a)
[90 + 15a] = 2(1 + -1a)
90 + 15a = (1 * 2 + -1a * 2)
90 + 15a = (2 + -2a)

Solving
90 + 15a = 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.
90 + 15a + 2a = 2 + -2a + 2a

Combine like terms: 15a + 2a = 17a
90 + 17a = 2 + -2a + 2a

Combine like terms: -2a + 2a = 0
90 + 17a = 2 + 0
90 + 17a = 2

Add '-90' to each side of the equation.
90 + -90 + 17a = 2 + -90

Combine like terms: 90 + -90 = 0
0 + 17a = 2 + -90
17a = 2 + -90

Combine like terms: 2 + -90 = -88
17a = -88

Divide each side by '17'.
a = -5.176470588

Simplifying
a = -5.176470588