2(x*6)=(x+3)(3+6)

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


Simplifying
2(x * 6) = (x + 3)(3 + 6)

Reorder the terms for easier multiplication:
2(6x) = (x + 3)(3 + 6)

Remove parenthesis around (6x)
2 * 6x = (x + 3)(3 + 6)

Multiply 2 * 6
12x = (x + 3)(3 + 6)

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

Combine like terms: 3 + 6 = 9
12x = (3 + x)(9)

Reorder the terms for easier multiplication:
12x = 9(3 + x)
12x = (3 * 9 + x * 9)
12x = (27 + 9x)

Solving
12x = 27 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
12x + -9x = 27 + 9x + -9x

Combine like terms: 12x + -9x = 3x
3x = 27 + 9x + -9x

Combine like terms: 9x + -9x = 0
3x = 27 + 0
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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