2+(17-x)+2(x+1)=4(x+2)-8

Solution for 2+(17-x)+2(x+1)=4(x+2)-8 equation:

Simplifying
2 + (17 + -1x) + 2(x + 1) = 4(x + 2) + -8

Remove parenthesis around (17 + -1x)
2 + 17 + -1x + 2(x + 1) = 4(x + 2) + -8

Reorder the terms:
2 + 17 + -1x + 2(1 + x) = 4(x + 2) + -8
2 + 17 + -1x + (1 * 2 + x * 2) = 4(x + 2) + -8
2 + 17 + -1x + (2 + 2x) = 4(x + 2) + -8

Reorder the terms:
2 + 17 + 2 + -1x + 2x = 4(x + 2) + -8

Combine like terms: 2 + 17 = 19
19 + 2 + -1x + 2x = 4(x + 2) + -8

Combine like terms: 19 + 2 = 21
21 + -1x + 2x = 4(x + 2) + -8

Combine like terms: -1x + 2x = 1x
21 + 1x = 4(x + 2) + -8

Reorder the terms:
21 + 1x = 4(2 + x) + -8
21 + 1x = (2 * 4 + x * 4) + -8
21 + 1x = (8 + 4x) + -8

Reorder the terms:
21 + 1x = 8 + -8 + 4x

Combine like terms: 8 + -8 = 0
21 + 1x = 0 + 4x
21 + 1x = 4x

Solving
21 + 1x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
21 + 1x + -4x = 4x + -4x

Combine like terms: 1x + -4x = -3x
21 + -3x = 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -3x = 0

Add '-21' to each side of the equation.
21 + -21 + -3x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = 0 + -21
-3x = 0 + -21

Combine like terms: 0 + -21 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7