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

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


Simplifying
(x + -6) + -1(6x + 3) = (x + -6) + (-6x + -3)

Reorder the terms:
(-6 + x) + -1(6x + 3) = (x + -6) + (-6x + -3)

Remove parenthesis around (-6 + x)
-6 + x + -1(6x + 3) = (x + -6) + (-6x + -3)

Reorder the terms:
-6 + x + -1(3 + 6x) = (x + -6) + (-6x + -3)
-6 + x + (3 * -1 + 6x * -1) = (x + -6) + (-6x + -3)
-6 + x + (-3 + -6x) = (x + -6) + (-6x + -3)

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

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

Combine like terms: x + -6x = -5x
-9 + -5x = (x + -6) + (-6x + -3)

Reorder the terms:
-9 + -5x = (-6 + x) + (-6x + -3)

Remove parenthesis around (-6 + x)
-9 + -5x = -6 + x + (-6x + -3)

Reorder the terms:
-9 + -5x = -6 + x + (-3 + -6x)

Remove parenthesis around (-3 + -6x)
-9 + -5x = -6 + x + -3 + -6x

Reorder the terms:
-9 + -5x = -6 + -3 + x + -6x

Combine like terms: -6 + -3 = -9
-9 + -5x = -9 + x + -6x

Combine like terms: x + -6x = -5x
-9 + -5x = -9 + -5x

Add '9' to each side of the equation.
-9 + 9 + -5x = -9 + 9 + -5x

Combine like terms: -9 + 9 = 0
0 + -5x = -9 + 9 + -5x
-5x = -9 + 9 + -5x

Combine like terms: -9 + 9 = 0
-5x = 0 + -5x
-5x = -5x

Add '5x' to each side of the equation.
-5x + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
0 = -5x + 5x

Combine like terms: -5x + 5x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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