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

Remove parenthesis around (-1x)
x + -1(3 * -1x + 1) = -1x + -6

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

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

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

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

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

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

Combine like terms: 4x + x = 5x
-1 + 5x = -6 + -1x + x

Combine like terms: -1x + x = 0
-1 + 5x = -6 + 0
-1 + 5x = -6

Add '1' to each side of the equation.
-1 + 1 + 5x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = -6 + 1
5x = -6 + 1

Combine like terms: -6 + 1 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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