3-(6x-42)=3

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

Simplifying
3 + -1(6x + -42) = 3

Reorder the terms:
3 + -1(-42 + 6x) = 3
3 + (-42 * -1 + 6x * -1) = 3
3 + (42 + -6x) = 3

Combine like terms: 3 + 42 = 45
45 + -6x = 3

Solving
45 + -6x = 3

Solving for variable 'x'.

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

Add '-45' to each side of the equation.
45 + -45 + -6x = 3 + -45

Combine like terms: 45 + -45 = 0
0 + -6x = 3 + -45
-6x = 3 + -45

Combine like terms: 3 + -45 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7