x+(x-1)=100

Solution for x+(x-1)=100 equation:

Simplifying
x + (x + -1) = 100

Reorder the terms:
x + (-1 + x) = 100

Remove parenthesis around (-1 + x)
x + -1 + x = 100

Reorder the terms:
-1 + x + x = 100

Combine like terms: x + x = 2x
-1 + 2x = 100

Solving
-1 + 2x = 100

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 + 1 + 2x = 100 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 100 + 1
2x = 100 + 1

Combine like terms: 100 + 1 = 101
2x = 101

Divide each side by '2'.
x = 50.5

Simplifying
x = 50.5