-2[3(x+4)-5]-2=20

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Solution for -2[3(x+4)-5]-2=20 equation: 


Simplifying
-2[3(x + 4) + -5] + -2 = 20

Reorder the terms:
-2[3(4 + x) + -5] + -2 = 20
-2[(4 * 3 + x * 3) + -5] + -2 = 20
-2[(12 + 3x) + -5] + -2 = 20

Reorder the terms:
-2[12 + -5 + 3x] + -2 = 20

Combine like terms: 12 + -5 = 7
-2[7 + 3x] + -2 = 20
[7 * -2 + 3x * -2] + -2 = 20
[-14 + -6x] + -2 = 20

Reorder the terms:
-14 + -2 + -6x = 20

Combine like terms: -14 + -2 = -16
-16 + -6x = 20

Solving
-16 + -6x = 20

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -6x = 20 + 16

Combine like terms: -16 + 16 = 0
0 + -6x = 20 + 16
-6x = 20 + 16

Combine like terms: 20 + 16 = 36
-6x = 36

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

Simplifying
x = -6

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