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

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


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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -3 + -3 = -6
-6 + -4 + x + x + x + x = x

Combine like terms: -6 + -4 = -10
-10 + x + x + x + x = x

Combine like terms: x + x = 2x
-10 + 2x + x + x = x

Combine like terms: 2x + x = 3x
-10 + 3x + x = x

Combine like terms: 3x + x = 4x
-10 + 4x = x

Solving
-10 + 4x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 4x + -1x = x + -1x

Combine like terms: 4x + -1x = 3x
-10 + 3x = x + -1x

Combine like terms: x + -1x = 0
-10 + 3x = 0

Add '10' to each side of the equation.
-10 + 10 + 3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 0 + 10
3x = 0 + 10

Combine like terms: 0 + 10 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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