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

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


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

Reorder the terms:
3(4 + x) = 3(6 + 2x) + -2
(4 * 3 + x * 3) = 3(6 + 2x) + -2
(12 + 3x) = 3(6 + 2x) + -2
12 + 3x = (6 * 3 + 2x * 3) + -2
12 + 3x = (18 + 6x) + -2

Reorder the terms:
12 + 3x = 18 + -2 + 6x

Combine like terms: 18 + -2 = 16
12 + 3x = 16 + 6x

Solving
12 + 3x = 16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 3x + -6x = 16 + 6x + -6x

Combine like terms: 3x + -6x = -3x
12 + -3x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -3x = 16 + 0
12 + -3x = 16

Add '-12' to each side of the equation.
12 + -12 + -3x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 16 + -12
-3x = 16 + -12

Combine like terms: 16 + -12 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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