(3x+6)+(6x+12)=54

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Solution for (3x+6)+(6x+12)=54 equation:


Simplifying
(3x + 6) + (6x + 12) = 54

Reorder the terms:
(6 + 3x) + (6x + 12) = 54

Remove parenthesis around (6 + 3x)
6 + 3x + (6x + 12) = 54

Reorder the terms:
6 + 3x + (12 + 6x) = 54

Remove parenthesis around (12 + 6x)
6 + 3x + 12 + 6x = 54

Reorder the terms:
6 + 12 + 3x + 6x = 54

Combine like terms: 6 + 12 = 18
18 + 3x + 6x = 54

Combine like terms: 3x + 6x = 9x
18 + 9x = 54

Solving
18 + 9x = 54

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 9x = 54 + -18

Combine like terms: 18 + -18 = 0
0 + 9x = 54 + -18
9x = 54 + -18

Combine like terms: 54 + -18 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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