y+x+(x-5)=100

Solution for y+x+(x-5)=100 equation:

Simplifying
y + x + (x + -5) = 100

Reorder the terms:
y + x + (-5 + x) = 100

Remove parenthesis around (-5 + x)
y + x + -5 + x = 100

Reorder the terms:
-5 + x + x + y = 100

Combine like terms: x + x = 2x
-5 + 2x + y = 100

Solving
-5 + 2x + y = 100

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 2x + 5 + y = 100 + 5

Reorder the terms:
-5 + 5 + 2x + y = 100 + 5

Combine like terms: -5 + 5 = 0
0 + 2x + y = 100 + 5
2x + y = 100 + 5

Combine like terms: 100 + 5 = 105
2x + y = 105

Add '-1y' to each side of the equation.
2x + y + -1y = 105 + -1y

Combine like terms: y + -1y = 0
2x + 0 = 105 + -1y
2x = 105 + -1y

Divide each side by '2'.
x = 52.5 + -0.5y

Simplifying
x = 52.5 + -0.5y