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

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

Simplifying
2(3 + -1a) + -1(-2)(a + -3) = -1(3a + -2)
(3 * 2 + -1a * 2) + -1(-2)(a + -3) = -1(3a + -2)
(6 + -2a) + -1(-2)(a + -3) = -1(3a + -2)

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

Multiply -1 * -2
6 + -2a + 2(-3 + a) = -1(3a + -2)
6 + -2a + (-3 * 2 + a * 2) = -1(3a + -2)
6 + -2a + (-6 + 2a) = -1(3a + -2)

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

Combine like terms: 6 + -6 = 0
0 + -2a + 2a = -1(3a + -2)
-2a + 2a = -1(3a + -2)

Combine like terms: -2a + 2a = 0
0 = -1(3a + -2)

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

Solving
0 = 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.
0 + 3a = 2 + -3a + 3a
Remove the zero:
3a = 2 + -3a + 3a

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

Divide each side by '3'.
a = 0.6666666667

Simplifying
a = 0.6666666667