(x-15)+(x-11)+(x-10)+(x-5)=x

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Solution for (x-15)+(x-11)+(x-10)+(x-5)=x equation: 


Simplifying
(x + -15) + (x + -11) + (x + -10) + (x + -5) = x

Reorder the terms:
(-15 + x) + (x + -11) + (x + -10) + (x + -5) = x

Remove parenthesis around (-15 + x)
-15 + x + (x + -11) + (x + -10) + (x + -5) = x

Reorder the terms:
-15 + x + (-11 + x) + (x + -10) + (x + -5) = x

Remove parenthesis around (-11 + x)
-15 + x + -11 + x + (x + -10) + (x + -5) = x

Reorder the terms:
-15 + x + -11 + x + (-10 + x) + (x + -5) = x

Remove parenthesis around (-10 + x)
-15 + x + -11 + x + -10 + x + (x + -5) = x

Reorder the terms:
-15 + x + -11 + x + -10 + x + (-5 + x) = x

Remove parenthesis around (-5 + x)
-15 + x + -11 + x + -10 + x + -5 + x = x

Reorder the terms:
-15 + -11 + -10 + -5 + x + x + x + x = x

Combine like terms: -15 + -11 = -26
-26 + -10 + -5 + x + x + x + x = x

Combine like terms: -26 + -10 = -36
-36 + -5 + x + x + x + x = x

Combine like terms: -36 + -5 = -41
-41 + x + x + x + x = x

Combine like terms: x + x = 2x
-41 + 2x + x + x = x

Combine like terms: 2x + x = 3x
-41 + 3x + x = x

Combine like terms: 3x + x = 4x
-41 + 4x = x

Solving
-41 + 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.
-41 + 4x + -1x = x + -1x

Combine like terms: 4x + -1x = 3x
-41 + 3x = x + -1x

Combine like terms: x + -1x = 0
-41 + 3x = 0

Add '41' to each side of the equation.
-41 + 41 + 3x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + 3x = 0 + 41
3x = 0 + 41

Combine like terms: 0 + 41 = 41
3x = 41

Divide each side by '3'.
x = 13.66666667

Simplifying
x = 13.66666667

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