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

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

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

Reorder the terms:
-2(-3 + x) + 4x = -1(-1x + 1)
(-3 * -2 + x * -2) + 4x = -1(-1x + 1)
(6 + -2x) + 4x = -1(-1x + 1)

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

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

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

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

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

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

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

Combine like terms: -1 + -6 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7