x+(x-1)+(x-2)+(x-3)=-14

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Solution for x+(x-1)+(x-2)+(x-3)=-14 equation:


Simplifying
x + (x + -1) + (x + -2) + (x + -3) = -14

Reorder the terms:
x + (-1 + x) + (x + -2) + (x + -3) = -14

Remove parenthesis around (-1 + x)
x + -1 + x + (x + -2) + (x + -3) = -14

Reorder the terms:
x + -1 + x + (-2 + x) + (x + -3) = -14

Remove parenthesis around (-2 + x)
x + -1 + x + -2 + x + (x + -3) = -14

Reorder the terms:
x + -1 + x + -2 + x + (-3 + x) = -14

Remove parenthesis around (-3 + x)
x + -1 + x + -2 + x + -3 + x = -14

Reorder the terms:
-1 + -2 + -3 + x + x + x + x = -14

Combine like terms: -1 + -2 = -3
-3 + -3 + x + x + x + x = -14

Combine like terms: -3 + -3 = -6
-6 + x + x + x + x = -14

Combine like terms: x + x = 2x
-6 + 2x + x + x = -14

Combine like terms: 2x + x = 3x
-6 + 3x + x = -14

Combine like terms: 3x + x = 4x
-6 + 4x = -14

Solving
-6 + 4x = -14

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = -14 + 6
4x = -14 + 6

Combine like terms: -14 + 6 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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