x+(x-2)+(x-3)=16

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Solution for x+(x-2)+(x-3)=16 equation:


Simplifying
x + (x + -2) + (x + -3) = 16

Reorder the terms:
x + (-2 + x) + (x + -3) = 16

Remove parenthesis around (-2 + x)
x + -2 + x + (x + -3) = 16

Reorder the terms:
x + -2 + x + (-3 + x) = 16

Remove parenthesis around (-3 + x)
x + -2 + x + -3 + x = 16

Reorder the terms:
-2 + -3 + x + x + x = 16

Combine like terms: -2 + -3 = -5
-5 + x + x + x = 16

Combine like terms: x + x = 2x
-5 + 2x + x = 16

Combine like terms: 2x + x = 3x
-5 + 3x = 16

Solving
-5 + 3x = 16

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 3x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 16 + 5
3x = 16 + 5

Combine like terms: 16 + 5 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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