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

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

Simplifying
6 + -2[3(x + 3) + -5] = 0

Reorder the terms:
6 + -2[3(3 + x) + -5] = 0
6 + -2[(3 * 3 + x * 3) + -5] = 0
6 + -2[(9 + 3x) + -5] = 0

Reorder the terms:
6 + -2[9 + -5 + 3x] = 0

Combine like terms: 9 + -5 = 4
6 + -2[4 + 3x] = 0
6 + [4 * -2 + 3x * -2] = 0
6 + [-8 + -6x] = 0

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

Solving
-2 + -6x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -6x = 0 + 2

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

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

Divide each side by '-6'.
x = -0.3333333333

Simplifying
x = -0.3333333333