1-(2-(3-x))=4x-(6+x)

Solution for 1-(2-(3-x))=4x-(6+x) equation:

Simplifying
1 + -1(2 + -1(3 + -1x)) = 4x + -1(6 + x)
1 + -1(2 + (3 * -1 + -1x * -1)) = 4x + -1(6 + x)
1 + -1(2 + (-3 + 1x)) = 4x + -1(6 + x)

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

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

Reorder the terms:
2 + -1x = -6 + 4x + -1x

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
2 + -4x = -6 + 0
2 + -4x = -6

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

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

Combine like terms: -6 + -2 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2