2(2-x+1)+(-x)=2(-x)+17

Solution for 2(2-x+1)+(-x)=2(-x)+17 equation:

Simplifying
2(2 + -1x + 1) + (-1x) = 2(-1x) + 17

Reorder the terms:
2(2 + 1 + -1x) + (-1x) = 2(-1x) + 17

Combine like terms: 2 + 1 = 3
2(3 + -1x) + (-1x) = 2(-1x) + 17
(3 * 2 + -1x * 2) + (-1x) = 2(-1x) + 17
(6 + -2x) + (-1x) = 2(-1x) + 17

Combine like terms: -2x + (-1x) = -3x
6 + -3x = 2(-1x) + 17

Remove parenthesis around (-1x)
6 + -3x = 2 * -1x + 17

Multiply 2 * -1
6 + -3x = -2x + 17

Reorder the terms:
6 + -3x = 17 + -2x

Solving
6 + -3x = 17 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + -3x + 2x = 17 + -2x + 2x

Combine like terms: -3x + 2x = -1x
6 + -1x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -1x = 17 + 0
6 + -1x = 17

Add '-6' to each side of the equation.
6 + -6 + -1x = 17 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 17 + -6
-1x = 17 + -6

Combine like terms: 17 + -6 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11