-6(x+2)-42=8-32

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Solution for -6(x+2)-42=8-32 equation:


Simplifying
-6(x + 2) + -42 = 8 + -32

Reorder the terms:
-6(2 + x) + -42 = 8 + -32
(2 * -6 + x * -6) + -42 = 8 + -32
(-12 + -6x) + -42 = 8 + -32

Reorder the terms:
-12 + -42 + -6x = 8 + -32

Combine like terms: -12 + -42 = -54
-54 + -6x = 8 + -32

Combine like terms: 8 + -32 = -24
-54 + -6x = -24

Solving
-54 + -6x = -24

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + -6x = -24 + 54

Combine like terms: -54 + 54 = 0
0 + -6x = -24 + 54
-6x = -24 + 54

Combine like terms: -24 + 54 = 30
-6x = 30

Divide each side by '-6'.
x = -5

Simplifying
x = -5

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