2(3x+1)=4(3x-5)+6

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Solution for 2(3x+1)=4(3x-5)+6 equation:


Simplifying
2(3x + 1) = 4(3x + -5) + 6

Reorder the terms:
2(1 + 3x) = 4(3x + -5) + 6
(1 * 2 + 3x * 2) = 4(3x + -5) + 6
(2 + 6x) = 4(3x + -5) + 6

Reorder the terms:
2 + 6x = 4(-5 + 3x) + 6
2 + 6x = (-5 * 4 + 3x * 4) + 6
2 + 6x = (-20 + 12x) + 6

Reorder the terms:
2 + 6x = -20 + 6 + 12x

Combine like terms: -20 + 6 = -14
2 + 6x = -14 + 12x

Solving
2 + 6x = -14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 6x + -12x = -14 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
2 + -6x = -14 + 0
2 + -6x = -14

Add '-2' to each side of the equation.
2 + -2 + -6x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -14 + -2
-6x = -14 + -2

Combine like terms: -14 + -2 = -16
-6x = -16

Divide each side by '-6'.
x = 2.666666667

Simplifying
x = 2.666666667

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