-6+3(2x+6)=42

Solution for -6+3(2x+6)=42 equation:

Simplifying
-6 + 3(2x + 6) = 42

Reorder the terms:
-6 + 3(6 + 2x) = 42
-6 + (6 * 3 + 2x * 3) = 42
-6 + (18 + 6x) = 42

Combine like terms: -6 + 18 = 12
12 + 6x = 42

Solving
12 + 6x = 42

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 6x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 42 + -12
6x = 42 + -12

Combine like terms: 42 + -12 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5