(x-2)-(3x+6)=-16

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Solution for (x-2)-(3x+6)=-16 equation:


Simplifying
(x + -2) + -1(3x + 6) = -16

Reorder the terms:
(-2 + x) + -1(3x + 6) = -16

Remove parenthesis around (-2 + x)
-2 + x + -1(3x + 6) = -16

Reorder the terms:
-2 + x + -1(6 + 3x) = -16
-2 + x + (6 * -1 + 3x * -1) = -16
-2 + x + (-6 + -3x) = -16

Reorder the terms:
-2 + -6 + x + -3x = -16

Combine like terms: -2 + -6 = -8
-8 + x + -3x = -16

Combine like terms: x + -3x = -2x
-8 + -2x = -16

Solving
-8 + -2x = -16

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -2x = -16 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -16 + 8
-2x = -16 + 8

Combine like terms: -16 + 8 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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