3-(x-3)=4-2x

Solution for 3-(x-3)=4-2x equation:

Simplifying
3 + -1(x + -3) = 4 + -2x

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

Combine like terms: 3 + 3 = 6
6 + -1x = 4 + -2x

Solving
6 + -1x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + -1x + 2x = 4 + -2x + 2x

Combine like terms: -1x + 2x = 1x
6 + 1x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 1x = 4 + 0
6 + 1x = 4

Add '-6' to each side of the equation.
6 + -6 + 1x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 4 + -6
1x = 4 + -6

Combine like terms: 4 + -6 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2