x+8=2-x

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Solution for x+8=2-x equation:


Simplifying
x + 8 = 2 + -1x

Reorder the terms:
8 + x = 2 + -1x

Solving
8 + x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + x + x = 2 + -1x + x

Combine like terms: x + x = 2x
8 + 2x = 2 + -1x + x

Combine like terms: -1x + x = 0
8 + 2x = 2 + 0
8 + 2x = 2

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

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

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

Divide each side by '2'.
x = -3

Simplifying
x = -3

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