2(x+3)+6x=3x-14

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Solution for 2(x+3)+6x=3x-14 equation:


Simplifying
2(x + 3) + 6x = 3x + -14

Reorder the terms:
2(3 + x) + 6x = 3x + -14
(3 * 2 + x * 2) + 6x = 3x + -14
(6 + 2x) + 6x = 3x + -14

Combine like terms: 2x + 6x = 8x
6 + 8x = 3x + -14

Reorder the terms:
6 + 8x = -14 + 3x

Solving
6 + 8x = -14 + 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 + 8x + -3x = -14 + 3x + -3x

Combine like terms: 8x + -3x = 5x
6 + 5x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 5x = -14 + 0
6 + 5x = -14

Add '-6' to each side of the equation.
6 + -6 + 5x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -14 + -6
5x = -14 + -6

Combine like terms: -14 + -6 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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