2(3x+4)+6=-x

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Solution for 2(3x+4)+6=-x equation:


Simplifying
2(3x + 4) + 6 = -1x

Reorder the terms:
2(4 + 3x) + 6 = -1x
(4 * 2 + 3x * 2) + 6 = -1x
(8 + 6x) + 6 = -1x

Reorder the terms:
8 + 6 + 6x = -1x

Combine like terms: 8 + 6 = 14
14 + 6x = -1x

Solving
14 + 6x = -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.
14 + 6x + x = -1x + x

Combine like terms: 6x + x = 7x
14 + 7x = -1x + x

Combine like terms: -1x + x = 0
14 + 7x = 0

Add '-14' to each side of the equation.
14 + -14 + 7x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 7x = 0 + -14
7x = 0 + -14

Combine like terms: 0 + -14 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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