(x-5)+(x-4)+(x-3)+(x-2)+(x-1+x+x+1)=7x

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


Simplifying
(x + -5) + (x + -4) + (x + -3) + (x + -2) + (x + -1 + x + x + 1) = 7x

Reorder the terms:
(-5 + x) + (x + -4) + (x + -3) + (x + -2) + (x + -1 + x + x + 1) = 7x

Remove parenthesis around (-5 + x)
-5 + x + (x + -4) + (x + -3) + (x + -2) + (x + -1 + x + x + 1) = 7x

Reorder the terms:
-5 + x + (-4 + x) + (x + -3) + (x + -2) + (x + -1 + x + x + 1) = 7x

Remove parenthesis around (-4 + x)
-5 + x + -4 + x + (x + -3) + (x + -2) + (x + -1 + x + x + 1) = 7x

Reorder the terms:
-5 + x + -4 + x + (-3 + x) + (x + -2) + (x + -1 + x + x + 1) = 7x

Remove parenthesis around (-3 + x)
-5 + x + -4 + x + -3 + x + (x + -2) + (x + -1 + x + x + 1) = 7x

Reorder the terms:
-5 + x + -4 + x + -3 + x + (-2 + x) + (x + -1 + x + x + 1) = 7x

Remove parenthesis around (-2 + x)
-5 + x + -4 + x + -3 + x + -2 + x + (x + -1 + x + x + 1) = 7x

Reorder the terms:
-5 + x + -4 + x + -3 + x + -2 + x + (-1 + 1 + x + x + x) = 7x

Combine like terms: -1 + 1 = 0
-5 + x + -4 + x + -3 + x + -2 + x + (0 + x + x + x) = 7x
-5 + x + -4 + x + -3 + x + -2 + x + (x + x + x) = 7x

Combine like terms: x + x = 2x
-5 + x + -4 + x + -3 + x + -2 + x + (2x + x) = 7x

Combine like terms: 2x + x = 3x
-5 + x + -4 + x + -3 + x + -2 + x + (3x) = 7x
-5 + x + -4 + x + -3 + x + -2 + x + (3x) = 7x

Reorder the terms:
-5 + -4 + -3 + -2 + x + x + x + x + (3x) = 7x

Combine like terms: -5 + -4 = -9
-9 + -3 + -2 + x + x + x + x + (3x) = 7x

Combine like terms: -9 + -3 = -12
-12 + -2 + x + x + x + x + (3x) = 7x

Combine like terms: -12 + -2 = -14
-14 + x + x + x + x + (3x) = 7x

Combine like terms: x + x = 2x
-14 + 2x + x + x + (3x) = 7x

Combine like terms: 2x + x = 3x
-14 + 3x + x + (3x) = 7x

Combine like terms: 3x + x = 4x
-14 + 4x + (3x) = 7x

Combine like terms: 4x + (3x) = 7x
-14 + 7x = 7x

Add '-7x' to each side of the equation.
-14 + 7x + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + 0 = 7x + -7x
-14 = 7x + -7x

Combine like terms: 7x + -7x = 0
-14 = 0

Solving
-14 = 0

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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