5(x+1)=-x-19

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Solution for 5(x+1)=-x-19 equation:


Simplifying
5(x + 1) = -1x + -19

Reorder the terms:
5(1 + x) = -1x + -19
(1 * 5 + x * 5) = -1x + -19
(5 + 5x) = -1x + -19

Reorder the terms:
5 + 5x = -19 + -1x

Solving
5 + 5x = -19 + -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.
5 + 5x + x = -19 + -1x + x

Combine like terms: 5x + x = 6x
5 + 6x = -19 + -1x + x

Combine like terms: -1x + x = 0
5 + 6x = -19 + 0
5 + 6x = -19

Add '-5' to each side of the equation.
5 + -5 + 6x = -19 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = -19 + -5
6x = -19 + -5

Combine like terms: -19 + -5 = -24
6x = -24

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

Simplifying
x = -4

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