x-(3-x+1)=-x-6

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Solution for x-(3-x+1)=-x-6 equation:


Simplifying
x + -1(3 + -1x + 1) = -1x + -6

Reorder the terms:
x + -1(3 + 1 + -1x) = -1x + -6

Combine like terms: 3 + 1 = 4
x + -1(4 + -1x) = -1x + -6
x + (4 * -1 + -1x * -1) = -1x + -6
x + (-4 + 1x) = -1x + -6

Reorder the terms:
-4 + x + 1x = -1x + -6

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

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

Solving
-4 + 2x = -6 + -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.
-4 + 2x + x = -6 + -1x + x

Combine like terms: 2x + x = 3x
-4 + 3x = -6 + -1x + x

Combine like terms: -1x + x = 0
-4 + 3x = -6 + 0
-4 + 3x = -6

Add '4' to each side of the equation.
-4 + 4 + 3x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -6 + 4
3x = -6 + 4

Combine like terms: -6 + 4 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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