2(3x+9)=3(4x-8)

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Solution for 2(3x+9)=3(4x-8) equation:


Simplifying
2(3x + 9) = 3(4x + -8)

Reorder the terms:
2(9 + 3x) = 3(4x + -8)
(9 * 2 + 3x * 2) = 3(4x + -8)
(18 + 6x) = 3(4x + -8)

Reorder the terms:
18 + 6x = 3(-8 + 4x)
18 + 6x = (-8 * 3 + 4x * 3)
18 + 6x = (-24 + 12x)

Solving
18 + 6x = -24 + 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.
18 + 6x + -12x = -24 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
18 + -6x = -24 + 0
18 + -6x = -24

Add '-18' to each side of the equation.
18 + -18 + -6x = -24 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = -24 + -18
-6x = -24 + -18

Combine like terms: -24 + -18 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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