4[x-9]+6=42

Solution for 4[x-9]+6=42 equation:

Simplifying
4[x + -9] + 6 = 42

Reorder the terms:
4[-9 + x] + 6 = 42
[-9 * 4 + x * 4] + 6 = 42
[-36 + 4x] + 6 = 42

Reorder the terms:
-36 + 6 + 4x = 42

Combine like terms: -36 + 6 = -30
-30 + 4x = 42

Solving
-30 + 4x = 42

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 4x = 42 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = 42 + 30
4x = 42 + 30

Combine like terms: 42 + 30 = 72
4x = 72

Divide each side by '4'.
x = 18

Simplifying
x = 18