10-x+2=9+x-5

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


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

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

Combine like terms: 10 + 2 = 12
12 + -1x = 9 + x + -5

Reorder the terms:
12 + -1x = 9 + -5 + x

Combine like terms: 9 + -5 = 4
12 + -1x = 4 + x

Solving
12 + -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.
12 + -1x + -1x = 4 + x + -1x

Combine like terms: -1x + -1x = -2x
12 + -2x = 4 + x + -1x

Combine like terms: x + -1x = 0
12 + -2x = 4 + 0
12 + -2x = 4

Add '-12' to each side of the equation.
12 + -12 + -2x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 4 + -12
-2x = 4 + -12

Combine like terms: 4 + -12 = -8
-2x = -8

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

Simplifying
x = 4

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