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

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

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

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

Reorder the terms:
-5[-6 + 6 + 2x] = 1

Combine like terms: -6 + 6 = 0
-5[0 + 2x] = 1
-5[2x] = 1

Remove brackets around [2x]
-5 * 2x = 1

Multiply -5 * 2
-10x = 1

Solving
-10x = 1

Solving for variable 'x'.

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

Divide each side by '-10'.
x = -0.1

Simplifying
x = -0.1