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

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Solution for 9x-2=-5(x+1)-11 equation:


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

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

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

Reorder the terms:
-2 + 9x = -5 + -11 + -5x

Combine like terms: -5 + -11 = -16
-2 + 9x = -16 + -5x

Solving
-2 + 9x = -16 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 9x + 5x = -16 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-2 + 14x = -16 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 14x = -16 + 0
-2 + 14x = -16

Add '2' to each side of the equation.
-2 + 2 + 14x = -16 + 2

Combine like terms: -2 + 2 = 0
0 + 14x = -16 + 2
14x = -16 + 2

Combine like terms: -16 + 2 = -14
14x = -14

Divide each side by '14'.
x = -1

Simplifying
x = -1

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