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 = 6x
-6 + 6x = -1(-1x + 1)

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

Solving
-6 + 6x = -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 + 6x + -1x = -1 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-6 + 5x = -1 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + 5x = -1 + 0
-6 + 5x = -1

Add '6' to each side of the equation.
-6 + 6 + 5x = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -1 + 6
5x = -1 + 6

Combine like terms: -1 + 6 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1