-6+2[6(x+1)+8]=38

Solution for -6+2[6(x+1)+8]=38 equation:

Simplifying
-6 + 2[6(x + 1) + 8] = 38

Reorder the terms:
-6 + 2[6(1 + x) + 8] = 38
-6 + 2[(1 * 6 + x * 6) + 8] = 38
-6 + 2[(6 + 6x) + 8] = 38

Reorder the terms:
-6 + 2[6 + 8 + 6x] = 38

Combine like terms: 6 + 8 = 14
-6 + 2[14 + 6x] = 38
-6 + [14 * 2 + 6x * 2] = 38
-6 + [28 + 12x] = 38

Combine like terms: -6 + 28 = 22
22 + 12x = 38

Solving
22 + 12x = 38

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 12x = 38 + -22

Combine like terms: 22 + -22 = 0
0 + 12x = 38 + -22
12x = 38 + -22

Combine like terms: 38 + -22 = 16
12x = 16

Divide each side by '12'.
x = 1.333333333

Simplifying
x = 1.333333333