9(6x+2)=3(22x-12)

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Solution for 9(6x+2)=3(22x-12) equation:


Simplifying
9(6x + 2) = 3(22x + -12)

Reorder the terms:
9(2 + 6x) = 3(22x + -12)
(2 * 9 + 6x * 9) = 3(22x + -12)
(18 + 54x) = 3(22x + -12)

Reorder the terms:
18 + 54x = 3(-12 + 22x)
18 + 54x = (-12 * 3 + 22x * 3)
18 + 54x = (-36 + 66x)

Solving
18 + 54x = -36 + 66x

Solving for variable 'x'.

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

Add '-66x' to each side of the equation.
18 + 54x + -66x = -36 + 66x + -66x

Combine like terms: 54x + -66x = -12x
18 + -12x = -36 + 66x + -66x

Combine like terms: 66x + -66x = 0
18 + -12x = -36 + 0
18 + -12x = -36

Add '-18' to each side of the equation.
18 + -18 + -12x = -36 + -18

Combine like terms: 18 + -18 = 0
0 + -12x = -36 + -18
-12x = -36 + -18

Combine like terms: -36 + -18 = -54
-12x = -54

Divide each side by '-12'.
x = 4.5

Simplifying
x = 4.5

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