6(3X+9)-2X=6(2X-6)

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Solution for 6(3X+9)-2X=6(2X-6) equation:


Simplifying
6(3X + 9) + -2X = 6(2X + -6)

Reorder the terms:
6(9 + 3X) + -2X = 6(2X + -6)
(9 * 6 + 3X * 6) + -2X = 6(2X + -6)
(54 + 18X) + -2X = 6(2X + -6)

Combine like terms: 18X + -2X = 16X
54 + 16X = 6(2X + -6)

Reorder the terms:
54 + 16X = 6(-6 + 2X)
54 + 16X = (-6 * 6 + 2X * 6)
54 + 16X = (-36 + 12X)

Solving
54 + 16X = -36 + 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.
54 + 16X + -12X = -36 + 12X + -12X

Combine like terms: 16X + -12X = 4X
54 + 4X = -36 + 12X + -12X

Combine like terms: 12X + -12X = 0
54 + 4X = -36 + 0
54 + 4X = -36

Add '-54' to each side of the equation.
54 + -54 + 4X = -36 + -54

Combine like terms: 54 + -54 = 0
0 + 4X = -36 + -54
4X = -36 + -54

Combine like terms: -36 + -54 = -90
4X = -90

Divide each side by '4'.
X = -22.5

Simplifying
X = -22.5

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