x+(x+2)+(x-4)=16

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Solution for x+(x+2)+(x-4)=16 equation:


Simplifying
x + (x + 2) + (x + -4) = 16

Reorder the terms:
x + (2 + x) + (x + -4) = 16

Remove parenthesis around (2 + x)
x + 2 + x + (x + -4) = 16

Reorder the terms:
x + 2 + x + (-4 + x) = 16

Remove parenthesis around (-4 + x)
x + 2 + x + -4 + x = 16

Reorder the terms:
2 + -4 + x + x + x = 16

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

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

Combine like terms: 2x + x = 3x
-2 + 3x = 16

Solving
-2 + 3x = 16

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 16 + 2
3x = 16 + 2

Combine like terms: 16 + 2 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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