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

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


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

Reorder the terms:
2(8 + x) = -1(x + -1)
(8 * 2 + x * 2) = -1(x + -1)
(16 + 2x) = -1(x + -1)

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

Solving
16 + 2x = 1 + -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.
16 + 2x + x = 1 + -1x + x

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

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

Add '-16' to each side of the equation.
16 + -16 + 3x = 1 + -16

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

Combine like terms: 1 + -16 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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