3-3a=8-2(2a+4)

Solution for 3-3a=8-2(2a+4) equation:

Simplifying
3 + -3a = 8 + -2(2a + 4)

Reorder the terms:
3 + -3a = 8 + -2(4 + 2a)
3 + -3a = 8 + (4 * -2 + 2a * -2)
3 + -3a = 8 + (-8 + -4a)

Combine like terms: 8 + -8 = 0
3 + -3a = 0 + -4a
3 + -3a = -4a

Solving
3 + -3a = -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
3 + -3a + 4a = -4a + 4a

Combine like terms: -3a + 4a = 1a
3 + 1a = -4a + 4a

Combine like terms: -4a + 4a = 0
3 + 1a = 0

Add '-3' to each side of the equation.
3 + -3 + 1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = 0 + -3
1a = 0 + -3

Combine like terms: 0 + -3 = -3
1a = -3

Divide each side by '1'.
a = -3

Simplifying
a = -3