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

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

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

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

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

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

Combine like terms: 8x + 9x = 17x
-1[3 + 17x] = 5 + -1(8x + 5)
[3 * -1 + 17x * -1] = 5 + -1(8x + 5)
[-3 + -17x] = 5 + -1(8x + 5)

Reorder the terms:
-3 + -17x = 5 + -1(5 + 8x)
-3 + -17x = 5 + (5 * -1 + 8x * -1)
-3 + -17x = 5 + (-5 + -8x)

Combine like terms: 5 + -5 = 0
-3 + -17x = 0 + -8x
-3 + -17x = -8x

Solving
-3 + -17x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-3 + -17x + 8x = -8x + 8x

Combine like terms: -17x + 8x = -9x
-3 + -9x = -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + -9x = 0

Add '3' to each side of the equation.
-3 + 3 + -9x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = 0 + 3
-9x = 0 + 3

Combine like terms: 0 + 3 = 3
-9x = 3

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

Simplifying
x = -0.3333333333