3(5-2x)-3=42

Solution for 3(5-2x)-3=42 equation:

Simplifying
3(5 + -2x) + -3 = 42
(5 * 3 + -2x * 3) + -3 = 42
(15 + -6x) + -3 = 42

Reorder the terms:
15 + -3 + -6x = 42

Combine like terms: 15 + -3 = 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