x-8=2-(x+4)

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Solution for x-8=2-(x+4) equation:


Simplifying
x + -8 = 2 + -1(x + 4)

Reorder the terms:
-8 + x = 2 + -1(x + 4)

Reorder the terms:
-8 + x = 2 + -1(4 + x)
-8 + x = 2 + (4 * -1 + x * -1)
-8 + x = 2 + (-4 + -1x)

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