x+(x+2)-(x+3)=100

Solution for x+(x+2)-(x+3)=100 equation:

Simplifying
x + (x + 2) + -1(x + 3) = 100

Reorder the terms:
x + (2 + x) + -1(x + 3) = 100

Remove parenthesis around (2 + x)
x + 2 + x + -1(x + 3) = 100

Reorder the terms:
x + 2 + x + -1(3 + x) = 100
x + 2 + x + (3 * -1 + x * -1) = 100
x + 2 + x + (-3 + -1x) = 100

Reorder the terms:
2 + -3 + x + x + -1x = 100

Combine like terms: 2 + -3 = -1
-1 + x + x + -1x = 100

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

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

Solving
-1 + 1x = 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 + 1x = 100 + 1

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

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

Divide each side by '1'.
x = 101

Simplifying
x = 101