3(3x+2)+14=3x-4

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Solution for 3(3x+2)+14=3x-4 equation:


Simplifying
3(3x + 2) + 14 = 3x + -4

Reorder the terms:
3(2 + 3x) + 14 = 3x + -4
(2 * 3 + 3x * 3) + 14 = 3x + -4
(6 + 9x) + 14 = 3x + -4

Reorder the terms:
6 + 14 + 9x = 3x + -4

Combine like terms: 6 + 14 = 20
20 + 9x = 3x + -4

Reorder the terms:
20 + 9x = -4 + 3x

Solving
20 + 9x = -4 + 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.
20 + 9x + -3x = -4 + 3x + -3x

Combine like terms: 9x + -3x = 6x
20 + 6x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 6x = -4 + 0
20 + 6x = -4

Add '-20' to each side of the equation.
20 + -20 + 6x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = -4 + -20
6x = -4 + -20

Combine like terms: -4 + -20 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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