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

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

Simplifying
3(2 + -3a) = 4 + -2(4a + -3)
(2 * 3 + -3a * 3) = 4 + -2(4a + -3)
(6 + -9a) = 4 + -2(4a + -3)

Reorder the terms:
6 + -9a = 4 + -2(-3 + 4a)
6 + -9a = 4 + (-3 * -2 + 4a * -2)
6 + -9a = 4 + (6 + -8a)

Combine like terms: 4 + 6 = 10
6 + -9a = 10 + -8a

Solving
6 + -9a = 10 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
6 + -9a + 8a = 10 + -8a + 8a

Combine like terms: -9a + 8a = -1a
6 + -1a = 10 + -8a + 8a

Combine like terms: -8a + 8a = 0
6 + -1a = 10 + 0
6 + -1a = 10

Add '-6' to each side of the equation.
6 + -6 + -1a = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 10 + -6
-1a = 10 + -6

Combine like terms: 10 + -6 = 4
-1a = 4

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

Simplifying
a = -4