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

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

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

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

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

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

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

Multiply -5 * 2
-10x = x

Solving
-10x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10x + -1x = x + -1x

Combine like terms: -10x + -1x = -11x
-11x = x + -1x

Combine like terms: x + -1x = 0
-11x = 0

Divide each side by '-11'.
x = 0

Simplifying
x = 0