x+2(1-x)=1

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

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

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

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

Solving
2 + -1x = 1

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = 1