x+9=-(x-1)

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Solution for x+9=-(x-1) equation:


Simplifying
x + 9 = -1(x + -1)

Reorder the terms:
9 + x = -1(x + -1)

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

Solving
9 + x = 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.
9 + x + x = 1 + -1x + x

Combine like terms: x + x = 2x
9 + 2x = 1 + -1x + x

Combine like terms: -1x + x = 0
9 + 2x = 1 + 0
9 + 2x = 1

Add '-9' to each side of the equation.
9 + -9 + 2x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 1 + -9
2x = 1 + -9

Combine like terms: 1 + -9 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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