3[5-(-8x-6)]=120+105

Solution for 3[5-(-8x-6)]=120+105 equation:

Simplifying
3[5 + -1(-8x + -6)] = 120 + 105

Reorder the terms:
3[5 + -1(-6 + -8x)] = 120 + 105
3[5 + (-6 * -1 + -8x * -1)] = 120 + 105
3[5 + (6 + 8x)] = 120 + 105

Combine like terms: 5 + 6 = 11
3[11 + 8x] = 120 + 105
[11 * 3 + 8x * 3] = 120 + 105
[33 + 24x] = 120 + 105

Combine like terms: 120 + 105 = 225
33 + 24x = 225

Solving
33 + 24x = 225

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 24x = 225 + -33

Combine like terms: 33 + -33 = 0
0 + 24x = 225 + -33
24x = 225 + -33

Combine like terms: 225 + -33 = 192
24x = 192

Divide each side by '24'.
x = 8

Simplifying
x = 8