x+(x-1)+(x-2)+(x-3)+(x-4)+(x-5)+(x-6)+(x-7)+(x-8)+(x-9)+(x-10)=

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Solution for x+(x-1)+(x-2)+(x-3)+(x-4)+(x-5)+(x-6)+(x-7)+(x-8)+(x-9)+(x-10)= equation: 


Simplifying
x + (x + -1) + (x + -2) + (x + -3) + (x + -4) + (x + -5) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Reorder the terms:
x + (-1 + x) + (x + -2) + (x + -3) + (x + -4) + (x + -5) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Remove parenthesis around (-1 + x)
x + -1 + x + (x + -2) + (x + -3) + (x + -4) + (x + -5) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Reorder the terms:
x + -1 + x + (-2 + x) + (x + -3) + (x + -4) + (x + -5) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Remove parenthesis around (-2 + x)
x + -1 + x + -2 + x + (x + -3) + (x + -4) + (x + -5) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Reorder the terms:
x + -1 + x + -2 + x + (-3 + x) + (x + -4) + (x + -5) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Remove parenthesis around (-3 + x)
x + -1 + x + -2 + x + -3 + x + (x + -4) + (x + -5) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Reorder the terms:
x + -1 + x + -2 + x + -3 + x + (-4 + x) + (x + -5) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Remove parenthesis around (-4 + x)
x + -1 + x + -2 + x + -3 + x + -4 + x + (x + -5) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Reorder the terms:
x + -1 + x + -2 + x + -3 + x + -4 + x + (-5 + x) + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Remove parenthesis around (-5 + x)
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + (x + -6) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Reorder the terms:
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + (-6 + x) + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Remove parenthesis around (-6 + x)
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + -6 + x + (x + -7) + (x + -8) + (x + -9) + (x + -10) = 0

Reorder the terms:
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + -6 + x + (-7 + x) + (x + -8) + (x + -9) + (x + -10) = 0

Remove parenthesis around (-7 + x)
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + -6 + x + -7 + x + (x + -8) + (x + -9) + (x + -10) = 0

Reorder the terms:
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + -6 + x + -7 + x + (-8 + x) + (x + -9) + (x + -10) = 0

Remove parenthesis around (-8 + x)
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + -6 + x + -7 + x + -8 + x + (x + -9) + (x + -10) = 0

Reorder the terms:
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + -6 + x + -7 + x + -8 + x + (-9 + x) + (x + -10) = 0

Remove parenthesis around (-9 + x)
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + -6 + x + -7 + x + -8 + x + -9 + x + (x + -10) = 0

Reorder the terms:
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + -6 + x + -7 + x + -8 + x + -9 + x + (-10 + x) = 0

Remove parenthesis around (-10 + x)
x + -1 + x + -2 + x + -3 + x + -4 + x + -5 + x + -6 + x + -7 + x + -8 + x + -9 + x + -10 + x = 0

Reorder the terms:
-1 + -2 + -3 + -4 + -5 + -6 + -7 + -8 + -9 + -10 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: -1 + -2 = -3
-3 + -3 + -4 + -5 + -6 + -7 + -8 + -9 + -10 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: -3 + -3 = -6
-6 + -4 + -5 + -6 + -7 + -8 + -9 + -10 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: -6 + -4 = -10
-10 + -5 + -6 + -7 + -8 + -9 + -10 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: -10 + -5 = -15
-15 + -6 + -7 + -8 + -9 + -10 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: -15 + -6 = -21
-21 + -7 + -8 + -9 + -10 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: -21 + -7 = -28
-28 + -8 + -9 + -10 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: -28 + -8 = -36
-36 + -9 + -10 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: -36 + -9 = -45
-45 + -10 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: -45 + -10 = -55
-55 + x + x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: x + x = 2x
-55 + 2x + x + x + x + x + x + x + x + x + x = 0

Combine like terms: 2x + x = 3x
-55 + 3x + x + x + x + x + x + x + x + x = 0

Combine like terms: 3x + x = 4x
-55 + 4x + x + x + x + x + x + x + x = 0

Combine like terms: 4x + x = 5x
-55 + 5x + x + x + x + x + x + x = 0

Combine like terms: 5x + x = 6x
-55 + 6x + x + x + x + x + x = 0

Combine like terms: 6x + x = 7x
-55 + 7x + x + x + x + x = 0

Combine like terms: 7x + x = 8x
-55 + 8x + x + x + x = 0

Combine like terms: 8x + x = 9x
-55 + 9x + x + x = 0

Combine like terms: 9x + x = 10x
-55 + 10x + x = 0

Combine like terms: 10x + x = 11x
-55 + 11x = 0

Solving
-55 + 11x = 0

Solving for variable 'x'.

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

Add '55' to each side of the equation.
-55 + 55 + 11x = 0 + 55

Combine like terms: -55 + 55 = 0
0 + 11x = 0 + 55
11x = 0 + 55

Combine like terms: 0 + 55 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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