(88-2x)+(x+17)=90

Solution for (88-2x)+(x+17)=90 equation:

Simplifying
(88 + -2x) + (x + 17) = 90

Remove parenthesis around (88 + -2x)
88 + -2x + (x + 17) = 90

Reorder the terms:
88 + -2x + (17 + x) = 90

Remove parenthesis around (17 + x)
88 + -2x + 17 + x = 90

Reorder the terms:
88 + 17 + -2x + x = 90

Combine like terms: 88 + 17 = 105
105 + -2x + x = 90

Combine like terms: -2x + x = -1x
105 + -1x = 90

Solving
105 + -1x = 90

Solving for variable 'x'.

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

Add '-105' to each side of the equation.
105 + -105 + -1x = 90 + -105

Combine like terms: 105 + -105 = 0
0 + -1x = 90 + -105
-1x = 90 + -105

Combine like terms: 90 + -105 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15