7-(x-9)=12+(x-5)

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Solution for 7-(x-9)=12+(x-5) equation: 


Simplifying
7 + -1(x + -9) = 12 + (x + -5)

Reorder the terms:
7 + -1(-9 + x) = 12 + (x + -5)
7 + (-9 * -1 + x * -1) = 12 + (x + -5)
7 + (9 + -1x) = 12 + (x + -5)

Combine like terms: 7 + 9 = 16
16 + -1x = 12 + (x + -5)

Reorder the terms:
16 + -1x = 12 + (-5 + x)

Remove parenthesis around (-5 + x)
16 + -1x = 12 + -5 + x

Combine like terms: 12 + -5 = 7
16 + -1x = 7 + x

Solving
16 + -1x = 7 + 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.
16 + -1x + -1x = 7 + x + -1x

Combine like terms: -1x + -1x = -2x
16 + -2x = 7 + x + -1x

Combine like terms: x + -1x = 0
16 + -2x = 7 + 0
16 + -2x = 7

Add '-16' to each side of the equation.
16 + -16 + -2x = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 7 + -16
-2x = 7 + -16

Combine like terms: 7 + -16 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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