6-3(x-2)=42

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

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

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

Combine like terms: 6 + 6 = 12
12 + -3x = 42

Solving
12 + -3x = 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 + -3x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 42 + -12
-3x = 42 + -12

Combine like terms: 42 + -12 = 30
-3x = 30

Divide each side by '-3'.
x = -10

Simplifying
x = -10