-[3x+(5x+8)]=6-(2x+9)

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Solution for -[3x+(5x+8)]=6-(2x+9) equation:


Simplifying
-1[3x + (5x + 8)] = 6 + -1(2x + 9)

Reorder the terms:
-1[3x + (8 + 5x)] = 6 + -1(2x + 9)

Remove parenthesis around (8 + 5x)
-1[3x + 8 + 5x] = 6 + -1(2x + 9)

Reorder the terms:
-1[8 + 3x + 5x] = 6 + -1(2x + 9)

Combine like terms: 3x + 5x = 8x
-1[8 + 8x] = 6 + -1(2x + 9)
[8 * -1 + 8x * -1] = 6 + -1(2x + 9)
[-8 + -8x] = 6 + -1(2x + 9)

Reorder the terms:
-8 + -8x = 6 + -1(9 + 2x)
-8 + -8x = 6 + (9 * -1 + 2x * -1)
-8 + -8x = 6 + (-9 + -2x)

Combine like terms: 6 + -9 = -3
-8 + -8x = -3 + -2x

Solving
-8 + -8x = -3 + -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.
-8 + -8x + 2x = -3 + -2x + 2x

Combine like terms: -8x + 2x = -6x
-8 + -6x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + -6x = -3 + 0
-8 + -6x = -3

Add '8' to each side of the equation.
-8 + 8 + -6x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = -3 + 8
-6x = -3 + 8

Combine like terms: -3 + 8 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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