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

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


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

Reorder the terms:
3(6 + 2x) + 6 = 2 + -4(3x + -8)
(6 * 3 + 2x * 3) + 6 = 2 + -4(3x + -8)
(18 + 6x) + 6 = 2 + -4(3x + -8)

Reorder the terms:
18 + 6 + 6x = 2 + -4(3x + -8)

Combine like terms: 18 + 6 = 24
24 + 6x = 2 + -4(3x + -8)

Reorder the terms:
24 + 6x = 2 + -4(-8 + 3x)
24 + 6x = 2 + (-8 * -4 + 3x * -4)
24 + 6x = 2 + (32 + -12x)

Combine like terms: 2 + 32 = 34
24 + 6x = 34 + -12x

Solving
24 + 6x = 34 + -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.
24 + 6x + 12x = 34 + -12x + 12x

Combine like terms: 6x + 12x = 18x
24 + 18x = 34 + -12x + 12x

Combine like terms: -12x + 12x = 0
24 + 18x = 34 + 0
24 + 18x = 34

Add '-24' to each side of the equation.
24 + -24 + 18x = 34 + -24

Combine like terms: 24 + -24 = 0
0 + 18x = 34 + -24
18x = 34 + -24

Combine like terms: 34 + -24 = 10
18x = 10

Divide each side by '18'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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