(4-2a)-(3a+1)=6-6a

Solution for (4-2a)-(3a+1)=6-6a equation:

Simplifying
(4 + -2a) + -1(3a + 1) = 6 + -6a

Remove parenthesis around (4 + -2a)
4 + -2a + -1(3a + 1) = 6 + -6a

Reorder the terms:
4 + -2a + -1(1 + 3a) = 6 + -6a
4 + -2a + (1 * -1 + 3a * -1) = 6 + -6a
4 + -2a + (-1 + -3a) = 6 + -6a

Reorder the terms:
4 + -1 + -2a + -3a = 6 + -6a

Combine like terms: 4 + -1 = 3
3 + -2a + -3a = 6 + -6a

Combine like terms: -2a + -3a = -5a
3 + -5a = 6 + -6a

Solving
3 + -5a = 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.
3 + -5a + 6a = 6 + -6a + 6a

Combine like terms: -5a + 6a = 1a
3 + 1a = 6 + -6a + 6a

Combine like terms: -6a + 6a = 0
3 + 1a = 6 + 0
3 + 1a = 6

Add '-3' to each side of the equation.
3 + -3 + 1a = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = 6 + -3
1a = 6 + -3

Combine like terms: 6 + -3 = 3
1a = 3

Divide each side by '1'.
a = 3

Simplifying
a = 3