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

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


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

Reorder the terms:
4(4 + x) = (x + -2)
(4 * 4 + x * 4) = (x + -2)
(16 + 4x) = (x + -2)

Reorder the terms:
16 + 4x = (-2 + x)

Remove parenthesis around (-2 + x)
16 + 4x = -2 + x

Solving
16 + 4x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + 4x + -1x = -2 + x + -1x

Combine like terms: 4x + -1x = 3x
16 + 3x = -2 + x + -1x

Combine like terms: x + -1x = 0
16 + 3x = -2 + 0
16 + 3x = -2

Add '-16' to each side of the equation.
16 + -16 + 3x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = -2 + -16
3x = -2 + -16

Combine like terms: -2 + -16 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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