2-(3+(4-x)-5)=2(3-x)

Solution for 2-(3+(4-x)-5)=2(3-x) equation:

Simplifying
2 + -1(3 + (4 + -1x) + -5) = 2(3 + -1x)

Remove parenthesis around (4 + -1x)
2 + -1(3 + 4 + -1x + -5) = 2(3 + -1x)

Reorder the terms:
2 + -1(3 + 4 + -5 + -1x) = 2(3 + -1x)

Combine like terms: 3 + 4 = 7
2 + -1(7 + -5 + -1x) = 2(3 + -1x)

Combine like terms: 7 + -5 = 2
2 + -1(2 + -1x) = 2(3 + -1x)
2 + (2 * -1 + -1x * -1) = 2(3 + -1x)
2 + (-2 + 1x) = 2(3 + -1x)

Combine like terms: 2 + -2 = 0
0 + 1x = 2(3 + -1x)
1x = 2(3 + -1x)
1x = (3 * 2 + -1x * 2)
1x = (6 + -2x)

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

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

Combine like terms: -2x + 2x = 0
3x = 6 + 0
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2