(2x-6)+(2x-6)+(x-3)+(x-3)=26

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Solution for (2x-6)+(2x-6)+(x-3)+(x-3)=26 equation: 


Simplifying
(2x + -6) + (2x + -6) + (x + -3) + (x + -3) = 26

Reorder the terms:
(-6 + 2x) + (2x + -6) + (x + -3) + (x + -3) = 26

Remove parenthesis around (-6 + 2x)
-6 + 2x + (2x + -6) + (x + -3) + (x + -3) = 26

Reorder the terms:
-6 + 2x + (-6 + 2x) + (x + -3) + (x + -3) = 26

Remove parenthesis around (-6 + 2x)
-6 + 2x + -6 + 2x + (x + -3) + (x + -3) = 26

Reorder the terms:
-6 + 2x + -6 + 2x + (-3 + x) + (x + -3) = 26

Remove parenthesis around (-3 + x)
-6 + 2x + -6 + 2x + -3 + x + (x + -3) = 26

Reorder the terms:
-6 + 2x + -6 + 2x + -3 + x + (-3 + x) = 26

Remove parenthesis around (-3 + x)
-6 + 2x + -6 + 2x + -3 + x + -3 + x = 26

Reorder the terms:
-6 + -6 + -3 + -3 + 2x + 2x + x + x = 26

Combine like terms: -6 + -6 = -12
-12 + -3 + -3 + 2x + 2x + x + x = 26

Combine like terms: -12 + -3 = -15
-15 + -3 + 2x + 2x + x + x = 26

Combine like terms: -15 + -3 = -18
-18 + 2x + 2x + x + x = 26

Combine like terms: 2x + 2x = 4x
-18 + 4x + x + x = 26

Combine like terms: 4x + x = 5x
-18 + 5x + x = 26

Combine like terms: 5x + x = 6x
-18 + 6x = 26

Solving
-18 + 6x = 26

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 6x = 26 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = 26 + 18
6x = 26 + 18

Combine like terms: 26 + 18 = 44
6x = 44

Divide each side by '6'.
x = 7.333333333

Simplifying
x = 7.333333333

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