2(3-x)=1-1(x-2)

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = 3