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

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Solution for 2(6x+1)=3(2x-4) equation:


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

Reorder the terms:
2(1 + 6x) = 3(2x + -4)
(1 * 2 + 6x * 2) = 3(2x + -4)
(2 + 12x) = 3(2x + -4)

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

Solving
2 + 12x = -12 + 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.
2 + 12x + -6x = -12 + 6x + -6x

Combine like terms: 12x + -6x = 6x
2 + 6x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 6x = -12 + 0
2 + 6x = -12

Add '-2' to each side of the equation.
2 + -2 + 6x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = -12 + -2
6x = -12 + -2

Combine like terms: -12 + -2 = -14
6x = -14

Divide each side by '6'.
x = -2.333333333

Simplifying
x = -2.333333333

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