10-(x+2)=9+(x-5)

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Solution for 10-(x+2)=9+(x-5) equation: 


Simplifying
10 + -1(x + 2) = 9 + (x + -5)

Reorder the terms:
10 + -1(2 + x) = 9 + (x + -5)
10 + (2 * -1 + x * -1) = 9 + (x + -5)
10 + (-2 + -1x) = 9 + (x + -5)

Combine like terms: 10 + -2 = 8
8 + -1x = 9 + (x + -5)

Reorder the terms:
8 + -1x = 9 + (-5 + x)

Remove parenthesis around (-5 + x)
8 + -1x = 9 + -5 + x

Combine like terms: 9 + -5 = 4
8 + -1x = 4 + x

Solving
8 + -1x = 4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
8 + -1x + -1x = 4 + x + -1x

Combine like terms: -1x + -1x = -2x
8 + -2x = 4 + x + -1x

Combine like terms: x + -1x = 0
8 + -2x = 4 + 0
8 + -2x = 4

Add '-8' to each side of the equation.
8 + -8 + -2x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 4 + -8
-2x = 4 + -8

Combine like terms: 4 + -8 = -4
-2x = -4

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

Simplifying
x = 2

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