-[3x+(8x+1)]=6-(2x+4)

Solution for -[3x+(8x+1)]=6-(2x+4) equation:

Simplifying
-1[3x + (8x + 1)] = 6 + -1(2x + 4)

Reorder the terms:
-1[3x + (1 + 8x)] = 6 + -1(2x + 4)

Remove parenthesis around (1 + 8x)
-1[3x + 1 + 8x] = 6 + -1(2x + 4)

Reorder the terms:
-1[1 + 3x + 8x] = 6 + -1(2x + 4)

Combine like terms: 3x + 8x = 11x
-1[1 + 11x] = 6 + -1(2x + 4)
[1 * -1 + 11x * -1] = 6 + -1(2x + 4)
[-1 + -11x] = 6 + -1(2x + 4)

Reorder the terms:
-1 + -11x = 6 + -1(4 + 2x)
-1 + -11x = 6 + (4 * -1 + 2x * -1)
-1 + -11x = 6 + (-4 + -2x)

Combine like terms: 6 + -4 = 2
-1 + -11x = 2 + -2x

Solving
-1 + -11x = 2 + -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.
-1 + -11x + 2x = 2 + -2x + 2x

Combine like terms: -11x + 2x = -9x
-1 + -9x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + -9x = 2 + 0
-1 + -9x = 2

Add '1' to each side of the equation.
-1 + 1 + -9x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -9x = 2 + 1
-9x = 2 + 1

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

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333