(17-x)+x+(5-x)+12=31

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Solution for (17-x)+x+(5-x)+12=31 equation:


Simplifying
(17 + -1x) + x + (5 + -1x) + 12 = 31

Remove parenthesis around (17 + -1x)
17 + -1x + x + (5 + -1x) + 12 = 31

Remove parenthesis around (5 + -1x)
17 + -1x + x + 5 + -1x + 12 = 31

Reorder the terms:
17 + 5 + 12 + -1x + x + -1x = 31

Combine like terms: 17 + 5 = 22
22 + 12 + -1x + x + -1x = 31

Combine like terms: 22 + 12 = 34
34 + -1x + x + -1x = 31

Combine like terms: -1x + x = 0
34 + 0 + -1x = 31
34 + -1x = 31

Solving
34 + -1x = 31

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + -1x = 31 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 31 + -34
-1x = 31 + -34

Combine like terms: 31 + -34 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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