x-2=8-x

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Solution for x-2=8-x equation:


Simplifying
x + -2 = 8 + -1x

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

Solving
-2 + x = 8 + -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.
-2 + x + x = 8 + -1x + x

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

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

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

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

Combine like terms: 8 + 2 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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