((3x-9x)+7)=((x-6)+13)

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Solution for ((3x-9x)+7)=((x-6)+13) equation:


Simplifying
((3x + -9x) + 7) = ((x + -6) + 13)

Combine like terms: 3x + -9x = -6x
((-6x) + 7) = ((x + -6) + 13)
((-6x) + 7) = ((x + -6) + 13)

Reorder the terms:
(7 + (-6x)) = ((x + -6) + 13)

Remove parenthesis around (7 + (-6x))
7 + (-6x) = ((x + -6) + 13)

Reorder the terms:
7 + (-6x) = ((-6 + x) + 13)

Remove parenthesis around (-6 + x)
7 + (-6x) = (-6 + x + 13)

Reorder the terms:
7 + (-6x) = (-6 + 13 + x)

Combine like terms: -6 + 13 = 7
7 + (-6x) = (7 + x)

Remove parenthesis around (7 + x)
7 + (-6x) = 7 + x

Add '-7' to each side of the equation.
7 + -7 + (-6x) = 7 + -7 + x

Combine like terms: 7 + -7 = 0
0 + (-6x) = 7 + -7 + x
(-6x) = 7 + -7 + x

Combine like terms: 7 + -7 = 0
(-6x) = 0 + x
(-6x) = x

Solving
(-6x) = 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.
(-6x) + -1x = x + -1x

Combine like terms: (-6x) + -1x = -7x
-7x = x + -1x

Combine like terms: x + -1x = 0
-7x = 0

Divide each side by '-7'.
x = 0

Simplifying
x = 0

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