(2x-5)-(6-2x)=11

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Solution for (2x-5)-(6-2x)=11 equation:


Simplifying
(2x + -5) + -1(6 + -2x) = 11

Reorder the terms:
(-5 + 2x) + -1(6 + -2x) = 11

Remove parenthesis around (-5 + 2x)
-5 + 2x + -1(6 + -2x) = 11
-5 + 2x + (6 * -1 + -2x * -1) = 11
-5 + 2x + (-6 + 2x) = 11

Reorder the terms:
-5 + -6 + 2x + 2x = 11

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

Combine like terms: 2x + 2x = 4x
-11 + 4x = 11

Solving
-11 + 4x = 11

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 4x = 11 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 11 + 11
4x = 11 + 11

Combine like terms: 11 + 11 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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