5(x+4)=-x-16

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Solution for 5(x+4)=-x-16 equation:


Simplifying
5(x + 4) = -1x + -16

Reorder the terms:
5(4 + x) = -1x + -16
(4 * 5 + x * 5) = -1x + -16
(20 + 5x) = -1x + -16

Reorder the terms:
20 + 5x = -16 + -1x

Solving
20 + 5x = -16 + -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.
20 + 5x + x = -16 + -1x + x

Combine like terms: 5x + x = 6x
20 + 6x = -16 + -1x + x

Combine like terms: -1x + x = 0
20 + 6x = -16 + 0
20 + 6x = -16

Add '-20' to each side of the equation.
20 + -20 + 6x = -16 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = -16 + -20
6x = -16 + -20

Combine like terms: -16 + -20 = -36
6x = -36

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

Simplifying
x = -6

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