6+[4-2x+6]=x-1

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Solution for 6+[4-2x+6]=x-1 equation: 


Simplifying
6 + [4 + -2x + 6] = x + -1

Reorder the terms:
6 + [4 + 6 + -2x] = x + -1

Combine like terms: 4 + 6 = 10
6 + [10 + -2x] = x + -1

Remove brackets around [10 + -2x]
6 + 10 + -2x = x + -1

Combine like terms: 6 + 10 = 16
16 + -2x = x + -1

Reorder the terms:
16 + -2x = -1 + x

Solving
16 + -2x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + -2x + -1x = -1 + x + -1x

Combine like terms: -2x + -1x = -3x
16 + -3x = -1 + x + -1x

Combine like terms: x + -1x = 0
16 + -3x = -1 + 0
16 + -3x = -1

Add '-16' to each side of the equation.
16 + -16 + -3x = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = -1 + -16
-3x = -1 + -16

Combine like terms: -1 + -16 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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