2[x+4]=2[-8-x]-3x

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Solution for 2[x+4]=2[-8-x]-3x equation:


Simplifying
2[x + 4] = 2[-8 + -1x] + -3x

Reorder the terms:
2[4 + x] = 2[-8 + -1x] + -3x
[4 * 2 + x * 2] = 2[-8 + -1x] + -3x
[8 + 2x] = 2[-8 + -1x] + -3x
8 + 2x = [-8 * 2 + -1x * 2] + -3x
8 + 2x = [-16 + -2x] + -3x

Combine like terms: -2x + -3x = -5x
8 + 2x = -16 + -5x

Solving
8 + 2x = -16 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
8 + 2x + 5x = -16 + -5x + 5x

Combine like terms: 2x + 5x = 7x
8 + 7x = -16 + -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 7x = -16 + 0
8 + 7x = -16

Add '-8' to each side of the equation.
8 + -8 + 7x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = -16 + -8
7x = -16 + -8

Combine like terms: -16 + -8 = -24
7x = -24

Divide each side by '7'.
x = -3.428571429

Simplifying
x = -3.428571429

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