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 = 12
12 + -2a + -2a = -1(3a + -2)

Combine like terms: -2a + -2a = -4a
12 + -4a = -1(3a + -2)

Reorder the terms:
12 + -4a = -1(-2 + 3a)
12 + -4a = (-2 * -1 + 3a * -1)
12 + -4a = (2 + -3a)

Solving
12 + -4a = 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.
12 + -4a + 3a = 2 + -3a + 3a

Combine like terms: -4a + 3a = -1a
12 + -1a = 2 + -3a + 3a

Combine like terms: -3a + 3a = 0
12 + -1a = 2 + 0
12 + -1a = 2

Add '-12' to each side of the equation.
12 + -12 + -1a = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -1a = 2 + -12
-1a = 2 + -12

Combine like terms: 2 + -12 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10