2(a-1)-3(2-a)=0

Solution for 2(a-1)-3(2-a)=0 equation:

Simplifying
2(a + -1) + -3(2 + -1a) = 0

Reorder the terms:
2(-1 + a) + -3(2 + -1a) = 0
(-1 * 2 + a * 2) + -3(2 + -1a) = 0
(-2 + 2a) + -3(2 + -1a) = 0
-2 + 2a + (2 * -3 + -1a * -3) = 0
-2 + 2a + (-6 + 3a) = 0

Reorder the terms:
-2 + -6 + 2a + 3a = 0

Combine like terms: -2 + -6 = -8
-8 + 2a + 3a = 0

Combine like terms: 2a + 3a = 5a
-8 + 5a = 0

Solving
-8 + 5a = 0

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + 5a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5a = 0 + 8
5a = 0 + 8

Combine like terms: 0 + 8 = 8
5a = 8

Divide each side by '5'.
a = 1.6

Simplifying
a = 1.6