7x+2(x+3)=-(2x+6)-x

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Solution for 7x+2(x+3)=-(2x+6)-x equation:


Simplifying
7x + 2(x + 3) = -1(2x + 6) + -1x

Reorder the terms:
7x + 2(3 + x) = -1(2x + 6) + -1x
7x + (3 * 2 + x * 2) = -1(2x + 6) + -1x
7x + (6 + 2x) = -1(2x + 6) + -1x

Reorder the terms:
6 + 7x + 2x = -1(2x + 6) + -1x

Combine like terms: 7x + 2x = 9x
6 + 9x = -1(2x + 6) + -1x

Reorder the terms:
6 + 9x = -1(6 + 2x) + -1x
6 + 9x = (6 * -1 + 2x * -1) + -1x
6 + 9x = (-6 + -2x) + -1x

Combine like terms: -2x + -1x = -3x
6 + 9x = -6 + -3x

Solving
6 + 9x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 9x + 3x = -6 + -3x + 3x

Combine like terms: 9x + 3x = 12x
6 + 12x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 12x = -6 + 0
6 + 12x = -6

Add '-6' to each side of the equation.
6 + -6 + 12x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = -6 + -6
12x = -6 + -6

Combine like terms: -6 + -6 = -12
12x = -12

Divide each side by '12'.
x = -1

Simplifying
x = -1

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