(x+2)5=-1(x+8)

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Solution for (x+2)5=-1(x+8) equation:


Simplifying
(x + 2) * 5 = -1(x + 8)

Reorder the terms:
(2 + x) * 5 = -1(x + 8)

Reorder the terms for easier multiplication:
5(2 + x) = -1(x + 8)
(2 * 5 + x * 5) = -1(x + 8)
(10 + 5x) = -1(x + 8)

Reorder the terms:
10 + 5x = -1(8 + x)
10 + 5x = (8 * -1 + x * -1)
10 + 5x = (-8 + -1x)

Solving
10 + 5x = -8 + -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.
10 + 5x + x = -8 + -1x + x

Combine like terms: 5x + x = 6x
10 + 6x = -8 + -1x + x

Combine like terms: -1x + x = 0
10 + 6x = -8 + 0
10 + 6x = -8

Add '-10' to each side of the equation.
10 + -10 + 6x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = -8 + -10
6x = -8 + -10

Combine like terms: -8 + -10 = -18
6x = -18

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

Simplifying
x = -3

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