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

Solution for 3+(4-2x)-(1-x)=3x-2(x-3) equation:

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

Remove parenthesis around (4 + -2x)
3 + 4 + -2x + -1(1 + -1x) = 3x + -2(x + -3)
3 + 4 + -2x + (1 * -1 + -1x * -1) = 3x + -2(x + -3)
3 + 4 + -2x + (-1 + 1x) = 3x + -2(x + -3)

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

Combine like terms: 3 + 4 = 7
7 + -1 + -2x + 1x = 3x + -2(x + -3)

Combine like terms: 7 + -1 = 6
6 + -2x + 1x = 3x + -2(x + -3)

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

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

Reorder the terms:
6 + -1x = 6 + 3x + -2x

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

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

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

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

Solving
-1x = 1x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0