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

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

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

Reorder the terms:
-42 = 3(3 + 2x) + -3
-42 = (3 * 3 + 2x * 3) + -3
-42 = (9 + 6x) + -3

Reorder the terms:
-42 = 9 + -3 + 6x

Combine like terms: 9 + -3 = 6
-42 = 6 + 6x

Solving
-42 = 6 + 6x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: 6 + 42 = 48
-6x = 48

Divide each side by '-6'.
x = -8

Simplifying
x = -8