x+(x-5)+(x+7)=83

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Solution for x+(x-5)+(x+7)=83 equation:


Simplifying
x + (x + -5) + (x + 7) = 83

Reorder the terms:
x + (-5 + x) + (x + 7) = 83

Remove parenthesis around (-5 + x)
x + -5 + x + (x + 7) = 83

Reorder the terms:
x + -5 + x + (7 + x) = 83

Remove parenthesis around (7 + x)
x + -5 + x + 7 + x = 83

Reorder the terms:
-5 + 7 + x + x + x = 83

Combine like terms: -5 + 7 = 2
2 + x + x + x = 83

Combine like terms: x + x = 2x
2 + 2x + x = 83

Combine like terms: 2x + x = 3x
2 + 3x = 83

Solving
2 + 3x = 83

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 = 83 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 83 + -2
3x = 83 + -2

Combine like terms: 83 + -2 = 81
3x = 81

Divide each side by '3'.
x = 27

Simplifying
x = 27

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