2*(1-x)+(x-6)=0

Solution for 2*(1-x)+(x-6)=0 equation:

Simplifying
2(1 + -1x) + (x + -6) = 0
(1 * 2 + -1x * 2) + (x + -6) = 0
(2 + -2x) + (x + -6) = 0

Reorder the terms:
2 + -2x + (-6 + x) = 0

Remove parenthesis around (-6 + x)
2 + -2x + -6 + x = 0

Reorder the terms:
2 + -6 + -2x + x = 0

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

Combine like terms: -2x + x = -1x
-4 + -1x = 0

Solving
-4 + -1x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4