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

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

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

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

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

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

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

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

Solving
6 + 1a = -2 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
6 + 1a + -3a = -2 + 3a + -3a

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

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

Add '-6' to each side of the equation.
6 + -6 + -2a = -2 + -6

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

Combine like terms: -2 + -6 = -8
-2a = -8

Divide each side by '-2'.
a = 4

Simplifying
a = 4