3(4-2(a-2))=3(2-4a)

Solution for 3(4-2(a-2))=3(2-4a) equation:

Simplifying
3(4 + -2(a + -2)) = 3(2 + -4a)

Reorder the terms:
3(4 + -2(-2 + a)) = 3(2 + -4a)
3(4 + (-2 * -2 + a * -2)) = 3(2 + -4a)
3(4 + (4 + -2a)) = 3(2 + -4a)

Combine like terms: 4 + 4 = 8
3(8 + -2a) = 3(2 + -4a)
(8 * 3 + -2a * 3) = 3(2 + -4a)
(24 + -6a) = 3(2 + -4a)
24 + -6a = (2 * 3 + -4a * 3)
24 + -6a = (6 + -12a)

Solving
24 + -6a = 6 + -12a

Solving for variable 'a'.

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

Add '12a' to each side of the equation.
24 + -6a + 12a = 6 + -12a + 12a

Combine like terms: -6a + 12a = 6a
24 + 6a = 6 + -12a + 12a

Combine like terms: -12a + 12a = 0
24 + 6a = 6 + 0
24 + 6a = 6

Add '-24' to each side of the equation.
24 + -24 + 6a = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 6a = 6 + -24
6a = 6 + -24

Combine like terms: 6 + -24 = -18
6a = -18

Divide each side by '6'.
a = -3

Simplifying
a = -3