(x-5)-(x+6)=2x

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Solution for (x-5)-(x+6)=2x equation:


Simplifying
(x + -5) + -1(x + 6) = 2x

Reorder the terms:
(-5 + x) + -1(x + 6) = 2x

Remove parenthesis around (-5 + x)
-5 + x + -1(x + 6) = 2x

Reorder the terms:
-5 + x + -1(6 + x) = 2x
-5 + x + (6 * -1 + x * -1) = 2x
-5 + x + (-6 + -1x) = 2x

Reorder the terms:
-5 + -6 + x + -1x = 2x

Combine like terms: -5 + -6 = -11
-11 + x + -1x = 2x

Combine like terms: x + -1x = 0
-11 + 0 = 2x
-11 = 2x

Solving
-11 = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + -2x = 0

Add '11' to each side of the equation.
-11 + 11 + -2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 0 + 11
-2x = 0 + 11

Combine like terms: 0 + 11 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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