-6(x+5)-42=2-32

Solution for -6(x+5)-42=2-32 equation:

Simplifying
-6(x + 5) + -42 = 2 + -32

Reorder the terms:
-6(5 + x) + -42 = 2 + -32
(5 * -6 + x * -6) + -42 = 2 + -32
(-30 + -6x) + -42 = 2 + -32

Reorder the terms:
-30 + -42 + -6x = 2 + -32

Combine like terms: -30 + -42 = -72
-72 + -6x = 2 + -32

Combine like terms: 2 + -32 = -30
-72 + -6x = -30

Solving
-72 + -6x = -30

Solving for variable 'x'.

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

Add '72' to each side of the equation.
-72 + 72 + -6x = -30 + 72

Combine like terms: -72 + 72 = 0
0 + -6x = -30 + 72
-6x = -30 + 72

Combine like terms: -30 + 72 = 42
-6x = 42

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

Simplifying
x = -7