x+(x-2)+(x-1)+(x-1)+(x-4)+(x-5)+(x-3)=39

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Solution for x+(x-2)+(x-1)+(x-1)+(x-4)+(x-5)+(x-3)=39 equation: 


Simplifying
x + (x + -2) + (x + -1) + (x + -1) + (x + -4) + (x + -5) + (x + -3) = 39

Reorder the terms:
x + (-2 + x) + (x + -1) + (x + -1) + (x + -4) + (x + -5) + (x + -3) = 39

Remove parenthesis around (-2 + x)
x + -2 + x + (x + -1) + (x + -1) + (x + -4) + (x + -5) + (x + -3) = 39

Reorder the terms:
x + -2 + x + (-1 + x) + (x + -1) + (x + -4) + (x + -5) + (x + -3) = 39

Remove parenthesis around (-1 + x)
x + -2 + x + -1 + x + (x + -1) + (x + -4) + (x + -5) + (x + -3) = 39

Reorder the terms:
x + -2 + x + -1 + x + (-1 + x) + (x + -4) + (x + -5) + (x + -3) = 39

Remove parenthesis around (-1 + x)
x + -2 + x + -1 + x + -1 + x + (x + -4) + (x + -5) + (x + -3) = 39

Reorder the terms:
x + -2 + x + -1 + x + -1 + x + (-4 + x) + (x + -5) + (x + -3) = 39

Remove parenthesis around (-4 + x)
x + -2 + x + -1 + x + -1 + x + -4 + x + (x + -5) + (x + -3) = 39

Reorder the terms:
x + -2 + x + -1 + x + -1 + x + -4 + x + (-5 + x) + (x + -3) = 39

Remove parenthesis around (-5 + x)
x + -2 + x + -1 + x + -1 + x + -4 + x + -5 + x + (x + -3) = 39

Reorder the terms:
x + -2 + x + -1 + x + -1 + x + -4 + x + -5 + x + (-3 + x) = 39

Remove parenthesis around (-3 + x)
x + -2 + x + -1 + x + -1 + x + -4 + x + -5 + x + -3 + x = 39

Reorder the terms:
-2 + -1 + -1 + -4 + -5 + -3 + x + x + x + x + x + x + x = 39

Combine like terms: -2 + -1 = -3
-3 + -1 + -4 + -5 + -3 + x + x + x + x + x + x + x = 39

Combine like terms: -3 + -1 = -4
-4 + -4 + -5 + -3 + x + x + x + x + x + x + x = 39

Combine like terms: -4 + -4 = -8
-8 + -5 + -3 + x + x + x + x + x + x + x = 39

Combine like terms: -8 + -5 = -13
-13 + -3 + x + x + x + x + x + x + x = 39

Combine like terms: -13 + -3 = -16
-16 + x + x + x + x + x + x + x = 39

Combine like terms: x + x = 2x
-16 + 2x + x + x + x + x + x = 39

Combine like terms: 2x + x = 3x
-16 + 3x + x + x + x + x = 39

Combine like terms: 3x + x = 4x
-16 + 4x + x + x + x = 39

Combine like terms: 4x + x = 5x
-16 + 5x + x + x = 39

Combine like terms: 5x + x = 6x
-16 + 6x + x = 39

Combine like terms: 6x + x = 7x
-16 + 7x = 39

Solving
-16 + 7x = 39

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 7x = 39 + 16

Combine like terms: -16 + 16 = 0
0 + 7x = 39 + 16
7x = 39 + 16

Combine like terms: 39 + 16 = 55
7x = 55

Divide each side by '7'.
x = 7.857142857

Simplifying
x = 7.857142857

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