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

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

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

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

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

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

Reorder the terms:
6 + 1a = 3(-2 + 3a)
6 + 1a = (-2 * 3 + 3a * 3)
6 + 1a = (-6 + 9a)

Solving
6 + 1a = -6 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
6 + 1a + -9a = -6 + 9a + -9a

Combine like terms: 1a + -9a = -8a
6 + -8a = -6 + 9a + -9a

Combine like terms: 9a + -9a = 0
6 + -8a = -6 + 0
6 + -8a = -6

Add '-6' to each side of the equation.
6 + -6 + -8a = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -8a = -6 + -6
-8a = -6 + -6

Combine like terms: -6 + -6 = -12
-8a = -12

Divide each side by '-8'.
a = 1.5

Simplifying
a = 1.5