2x+(x-6)=-(x+1)

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Solution for 2x+(x-6)=-(x+1) equation:


Simplifying
2x + (x + -6) = -1(x + 1)

Reorder the terms:
2x + (-6 + x) = -1(x + 1)

Remove parenthesis around (-6 + x)
2x + -6 + x = -1(x + 1)

Reorder the terms:
-6 + 2x + x = -1(x + 1)

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

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

Solving
-6 + 3x = -1 + -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.
-6 + 3x + x = -1 + -1x + x

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

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

Add '6' to each side of the equation.
-6 + 6 + 4x = -1 + 6

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

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

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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