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

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

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

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

Combine like terms: 6 + -6 = 0
4 + -2a = 0 + -3a + 2a
4 + -2a = -3a + 2a

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

Solving
4 + -2a = -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
4 + -2a + a = -1a + a

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

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

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

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

Divide each side by '-1'.
a = 4

Simplifying
a = 4