(x-3)-2=6-2(x+11)

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Solution for (x-3)-2=6-2(x+11) equation:


Simplifying
(x + -3) + -2 = 6 + -2(x + 11)

Reorder the terms:
(-3 + x) + -2 = 6 + -2(x + 11)

Remove parenthesis around (-3 + x)
-3 + x + -2 = 6 + -2(x + 11)

Reorder the terms:
-3 + -2 + x = 6 + -2(x + 11)

Combine like terms: -3 + -2 = -5
-5 + x = 6 + -2(x + 11)

Reorder the terms:
-5 + x = 6 + -2(11 + x)
-5 + x = 6 + (11 * -2 + x * -2)
-5 + x = 6 + (-22 + -2x)

Combine like terms: 6 + -22 = -16
-5 + x = -16 + -2x

Solving
-5 + x = -16 + -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.
-5 + x + 2x = -16 + -2x + 2x

Combine like terms: x + 2x = 3x
-5 + 3x = -16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 3x = -16 + 0
-5 + 3x = -16

Add '5' to each side of the equation.
-5 + 5 + 3x = -16 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = -16 + 5
3x = -16 + 5

Combine like terms: -16 + 5 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

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