6x+12(3x+3)=18(3x+2)

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Solution for 6x+12(3x+3)=18(3x+2) equation:


Simplifying
6x + 12(3x + 3) = 18(3x + 2)

Reorder the terms:
6x + 12(3 + 3x) = 18(3x + 2)
6x + (3 * 12 + 3x * 12) = 18(3x + 2)
6x + (36 + 36x) = 18(3x + 2)

Reorder the terms:
36 + 6x + 36x = 18(3x + 2)

Combine like terms: 6x + 36x = 42x
36 + 42x = 18(3x + 2)

Reorder the terms:
36 + 42x = 18(2 + 3x)
36 + 42x = (2 * 18 + 3x * 18)
36 + 42x = (36 + 54x)

Add '-36' to each side of the equation.
36 + -36 + 42x = 36 + -36 + 54x

Combine like terms: 36 + -36 = 0
0 + 42x = 36 + -36 + 54x
42x = 36 + -36 + 54x

Combine like terms: 36 + -36 = 0
42x = 0 + 54x
42x = 54x

Solving
42x = 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
42x + -54x = 54x + -54x

Combine like terms: 42x + -54x = -12x
-12x = 54x + -54x

Combine like terms: 54x + -54x = 0
-12x = 0

Divide each side by '-12'.
x = 0

Simplifying
x = 0

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