8+3x=x-4(4+x)

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Solution for 8+3x=x-4(4+x) equation:


Simplifying
8 + 3x = x + -4(4 + x)
8 + 3x = x + (4 * -4 + x * -4)
8 + 3x = x + (-16 + -4x)

Reorder the terms:
8 + 3x = -16 + x + -4x

Combine like terms: x + -4x = -3x
8 + 3x = -16 + -3x

Solving
8 + 3x = -16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
8 + 3x + 3x = -16 + -3x + 3x

Combine like terms: 3x + 3x = 6x
8 + 6x = -16 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 6x = -16 + 0
8 + 6x = -16

Add '-8' to each side of the equation.
8 + -8 + 6x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = -16 + -8
6x = -16 + -8

Combine like terms: -16 + -8 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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