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

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Solution for 4(4+x)=-2(x+1) equation:


Simplifying
4(4 + x) = -2(x + 1)
(4 * 4 + x * 4) = -2(x + 1)
(16 + 4x) = -2(x + 1)

Reorder the terms:
16 + 4x = -2(1 + x)
16 + 4x = (1 * -2 + x * -2)
16 + 4x = (-2 + -2x)

Solving
16 + 4x = -2 + -2x

Solving for variable 'x'.

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

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

Combine like terms: 4x + 2x = 6x
16 + 6x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + 6x = -2 + 0
16 + 6x = -2

Add '-16' to each side of the equation.
16 + -16 + 6x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = -2 + -16
6x = -2 + -16

Combine like terms: -2 + -16 = -18
6x = -18

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

Simplifying
x = -3

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