3(4x+8)=12(6x-3)+2

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Solution for 3(4x+8)=12(6x-3)+2 equation: 


Simplifying
3(4x + 8) = 12(6x + -3) + 2

Reorder the terms:
3(8 + 4x) = 12(6x + -3) + 2
(8 * 3 + 4x * 3) = 12(6x + -3) + 2
(24 + 12x) = 12(6x + -3) + 2

Reorder the terms:
24 + 12x = 12(-3 + 6x) + 2
24 + 12x = (-3 * 12 + 6x * 12) + 2
24 + 12x = (-36 + 72x) + 2

Reorder the terms:
24 + 12x = -36 + 2 + 72x

Combine like terms: -36 + 2 = -34
24 + 12x = -34 + 72x

Solving
24 + 12x = -34 + 72x

Solving for variable 'x'.

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

Add '-72x' to each side of the equation.
24 + 12x + -72x = -34 + 72x + -72x

Combine like terms: 12x + -72x = -60x
24 + -60x = -34 + 72x + -72x

Combine like terms: 72x + -72x = 0
24 + -60x = -34 + 0
24 + -60x = -34

Add '-24' to each side of the equation.
24 + -24 + -60x = -34 + -24

Combine like terms: 24 + -24 = 0
0 + -60x = -34 + -24
-60x = -34 + -24

Combine like terms: -34 + -24 = -58
-60x = -58

Divide each side by '-60'.
x = 0.9666666667

Simplifying
x = 0.9666666667

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