(x-12)+(16-2x)=14

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Solution for (x-12)+(16-2x)=14 equation:


Simplifying
(x + -12) + (16 + -2x) = 14

Reorder the terms:
(-12 + x) + (16 + -2x) = 14

Remove parenthesis around (-12 + x)
-12 + x + (16 + -2x) = 14

Remove parenthesis around (16 + -2x)
-12 + x + 16 + -2x = 14

Reorder the terms:
-12 + 16 + x + -2x = 14

Combine like terms: -12 + 16 = 4
4 + x + -2x = 14

Combine like terms: x + -2x = -1x
4 + -1x = 14

Solving
4 + -1x = 14

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 14 + -4
-1x = 14 + -4

Combine like terms: 14 + -4 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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