x-6=-5x-2

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Solution for x-6=-5x-2 equation:


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

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

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

Solving
-6 + x = -2 + -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.
-6 + x + 5x = -2 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
-6 + 6x = -2 + 0
-6 + 6x = -2

Add '6' to each side of the equation.
-6 + 6 + 6x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = -2 + 6
6x = -2 + 6

Combine like terms: -2 + 6 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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