(x-1)+(x+1)=5

Solution for (x-1)+(x+1)=5 equation:

Simplifying
(x + -1) + (x + 1) = 5

Reorder the terms:
(-1 + x) + (x + 1) = 5

Remove parenthesis around (-1 + x)
-1 + x + (x + 1) = 5

Reorder the terms:
-1 + x + (1 + x) = 5

Remove parenthesis around (1 + x)
-1 + x + 1 + x = 5

Reorder the terms:
-1 + 1 + x + x = 5

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

Combine like terms: x + x = 2x
2x = 5

Solving
2x = 5

Solving for variable 'x'.

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5