4a-3[a-2]=2[3a-2]

Solution for 4a-3[a-2]=2[3a-2] equation:

Simplifying
4a + -3[a + -2] = 2[3a + -2]

Reorder the terms:
4a + -3[-2 + a] = 2[3a + -2]
4a + [-2 * -3 + a * -3] = 2[3a + -2]
4a + [6 + -3a] = 2[3a + -2]

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

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

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

Solving
6 + 1a = -4 + 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.
6 + 1a + -6a = -4 + 6a + -6a

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

Combine like terms: 6a + -6a = 0
6 + -5a = -4 + 0
6 + -5a = -4

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

Combine like terms: 6 + -6 = 0
0 + -5a = -4 + -6
-5a = -4 + -6

Combine like terms: -4 + -6 = -10
-5a = -10

Divide each side by '-5'.
a = 2

Simplifying
a = 2