6=3[x-9]

Solution for 6=3[x-9] equation:

Simplifying
6 = 3[x + -9]

Reorder the terms:
6 = 3[-9 + x]
6 = [-9 * 3 + x * 3]
6 = [-27 + 3x]

Solving
6 = -27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -3x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -3x = -27 + 0
6 + -3x = -27

Add '-6' to each side of the equation.
6 + -6 + -3x = -27 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -27 + -6
-3x = -27 + -6

Combine like terms: -27 + -6 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11