x=a(1-x)+1

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

Simplifying
x = a(1 + -1x) + 1
x = (1 * a + -1x * a) + 1
x = (1a + -1ax) + 1

Reorder the terms:
x = 1 + 1a + -1ax

Solving
x = 1 + 1a + -1ax

Solving for variable 'x'.

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

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

Combine like terms: -1ax + ax = 0
ax + x = 1 + 1a + 0
ax + x = 1 + 1a

Reorder the terms:
-1 + -1a + ax + x = 1 + 1a + -1 + -1a

Reorder the terms:
-1 + -1a + ax + x = 1 + -1 + 1a + -1a

Combine like terms: 1 + -1 = 0
-1 + -1a + ax + x = 0 + 1a + -1a
-1 + -1a + ax + x = 1a + -1a

Combine like terms: 1a + -1a = 0
-1 + -1a + ax + x = 0

The solution to this equation could not be determined.