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

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

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

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

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

Solving
6 + -2a = 3 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + -2a + a = 3 + -1a + a

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

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 3 + -6

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

Combine like terms: 3 + -6 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3