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

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

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

Reorder the terms:
3(-4 + a) = 3(2 + -2a)
(-4 * 3 + a * 3) = 3(2 + -2a)
(-12 + 3a) = 3(2 + -2a)
-12 + 3a = (2 * 3 + -2a * 3)
-12 + 3a = (6 + -6a)

Solving
-12 + 3a = 6 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-12 + 3a + 6a = 6 + -6a + 6a

Combine like terms: 3a + 6a = 9a
-12 + 9a = 6 + -6a + 6a

Combine like terms: -6a + 6a = 0
-12 + 9a = 6 + 0
-12 + 9a = 6

Add '12' to each side of the equation.
-12 + 12 + 9a = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 9a = 6 + 12
9a = 6 + 12

Combine like terms: 6 + 12 = 18
9a = 18

Divide each side by '9'.
a = 2

Simplifying
a = 2