(x-2)+(x+6)=0

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Solution for (x-2)+(x+6)=0 equation:


Simplifying
(x + -2) + (x + 6) = 0

Reorder the terms:
(-2 + x) + (x + 6) = 0

Remove parenthesis around (-2 + x)
-2 + x + (x + 6) = 0

Reorder the terms:
-2 + x + (6 + x) = 0

Remove parenthesis around (6 + x)
-2 + x + 6 + x = 0

Reorder the terms:
-2 + 6 + x + x = 0

Combine like terms: -2 + 6 = 4
4 + x + x = 0

Combine like terms: x + x = 2x
4 + 2x = 0

Solving
4 + 2x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 2x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 0 + -4
2x = 0 + -4

Combine like terms: 0 + -4 = -4
2x = -4

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

Simplifying
x = -2

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