(X-1)+(x)=1

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

Simplifying
(X + -1) + (x) = 1

Reorder the terms:
(-1 + X) + (x) = 1

Remove parenthesis around (-1 + X)
-1 + X + (x) = 1
-1 + X + x = 1

Solving
-1 + X + x = 1

Solving for variable 'X'.

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

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

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

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

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

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

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

Simplifying
X = 2 + -1x