6a-[4-(3-2a)]=5a+6

Solution for 6a-[4-(3-2a)]=5a+6 equation:

Simplifying
6a + -1[4 + -1(3 + -2a)] = 5a + 6
6a + -1[4 + (3 * -1 + -2a * -1)] = 5a + 6
6a + -1[4 + (-3 + 2a)] = 5a + 6

Combine like terms: 4 + -3 = 1
6a + -1[1 + 2a] = 5a + 6
6a + [1 * -1 + 2a * -1] = 5a + 6
6a + [-1 + -2a] = 5a + 6

Reorder the terms:
-1 + 6a + -2a = 5a + 6

Combine like terms: 6a + -2a = 4a
-1 + 4a = 5a + 6

Reorder the terms:
-1 + 4a = 6 + 5a

Solving
-1 + 4a = 6 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-1 + 4a + -5a = 6 + 5a + -5a

Combine like terms: 4a + -5a = -1a
-1 + -1a = 6 + 5a + -5a

Combine like terms: 5a + -5a = 0
-1 + -1a = 6 + 0
-1 + -1a = 6

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

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

Combine like terms: 6 + 1 = 7
-1a = 7

Divide each side by '-1'.
a = -7

Simplifying
a = -7