2(x+4)=-x+2

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


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

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

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

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

Combine like terms: 2x + x = 3x
8 + 3x = 2 + -1x + x

Combine like terms: -1x + x = 0
8 + 3x = 2 + 0
8 + 3x = 2

Add '-8' to each side of the equation.
8 + -8 + 3x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 2 + -8
3x = 2 + -8

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

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

Simplifying
x = -2

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