8(x-1)+(2+x)=-3(x+4)-(5-x)

Solution for 8(x-1)+(2+x)=-3(x+4)-(5-x) equation:

Simplifying
8(x + -1) + (2 + x) = -3(x + 4) + -1(5 + -1x)

Reorder the terms:
8(-1 + x) + (2 + x) = -3(x + 4) + -1(5 + -1x)
(-1 * 8 + x * 8) + (2 + x) = -3(x + 4) + -1(5 + -1x)
(-8 + 8x) + (2 + x) = -3(x + 4) + -1(5 + -1x)

Remove parenthesis around (2 + x)
-8 + 8x + 2 + x = -3(x + 4) + -1(5 + -1x)

Reorder the terms:
-8 + 2 + 8x + x = -3(x + 4) + -1(5 + -1x)

Combine like terms: -8 + 2 = -6
-6 + 8x + x = -3(x + 4) + -1(5 + -1x)

Combine like terms: 8x + x = 9x
-6 + 9x = -3(x + 4) + -1(5 + -1x)

Reorder the terms:
-6 + 9x = -3(4 + x) + -1(5 + -1x)
-6 + 9x = (4 * -3 + x * -3) + -1(5 + -1x)
-6 + 9x = (-12 + -3x) + -1(5 + -1x)
-6 + 9x = -12 + -3x + (5 * -1 + -1x * -1)
-6 + 9x = -12 + -3x + (-5 + 1x)

Reorder the terms:
-6 + 9x = -12 + -5 + -3x + 1x

Combine like terms: -12 + -5 = -17
-6 + 9x = -17 + -3x + 1x

Combine like terms: -3x + 1x = -2x
-6 + 9x = -17 + -2x

Solving
-6 + 9x = -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 + 9x + 2x = -17 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-6 + 11x = -17 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 11x = -17 + 0
-6 + 11x = -17

Add '6' to each side of the equation.
-6 + 6 + 11x = -17 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = -17 + 6
11x = -17 + 6

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

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

Simplifying
x = -1