2(x-3)+11=-(x+5)-9

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Solution for 2(x-3)+11=-(x+5)-9 equation:


Simplifying
2(x + -3) + 11 = -1(x + 5) + -9

Reorder the terms:
2(-3 + x) + 11 = -1(x + 5) + -9
(-3 * 2 + x * 2) + 11 = -1(x + 5) + -9
(-6 + 2x) + 11 = -1(x + 5) + -9

Reorder the terms:
-6 + 11 + 2x = -1(x + 5) + -9

Combine like terms: -6 + 11 = 5
5 + 2x = -1(x + 5) + -9

Reorder the terms:
5 + 2x = -1(5 + x) + -9
5 + 2x = (5 * -1 + x * -1) + -9
5 + 2x = (-5 + -1x) + -9

Reorder the terms:
5 + 2x = -5 + -9 + -1x

Combine like terms: -5 + -9 = -14
5 + 2x = -14 + -1x

Solving
5 + 2x = -14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5 + 2x + x = -14 + -1x + x

Combine like terms: 2x + x = 3x
5 + 3x = -14 + -1x + x

Combine like terms: -1x + x = 0
5 + 3x = -14 + 0
5 + 3x = -14

Add '-5' to each side of the equation.
5 + -5 + 3x = -14 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -14 + -5
3x = -14 + -5

Combine like terms: -14 + -5 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333

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