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

Solution for 6-2[3(x+1)-5]= equation:

Simplifying
6 + -2[3(x + 1) + -5] = 0

Reorder the terms:
6 + -2[3(1 + x) + -5] = 0
6 + -2[(1 * 3 + x * 3) + -5] = 0
6 + -2[(3 + 3x) + -5] = 0

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

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

Combine like terms: 6 + 4 = 10
10 + -6x = 0

Solving
10 + -6x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -6x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 0 + -10
-6x = 0 + -10

Combine like terms: 0 + -10 = -10
-6x = -10

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667