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

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


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

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

Reorder the terms:
-5 + 6x = -5(2 + x) + -6
-5 + 6x = (2 * -5 + x * -5) + -6
-5 + 6x = (-10 + -5x) + -6

Reorder the terms:
-5 + 6x = -10 + -6 + -5x

Combine like terms: -10 + -6 = -16
-5 + 6x = -16 + -5x

Solving
-5 + 6x = -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.
-5 + 6x + 5x = -16 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-5 + 11x = -16 + -5x + 5x

Combine like terms: -5x + 5x = 0
-5 + 11x = -16 + 0
-5 + 11x = -16

Add '5' to each side of the equation.
-5 + 5 + 11x = -16 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = -16 + 5
11x = -16 + 5

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

Divide each side by '11'.
x = -1

Simplifying
x = -1

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