(9+2x)*6=(x*6)+12

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Solution for (9+2x)*6=(x*6)+12 equation:


Simplifying
(9 + 2x) * 6 = (x * 6) + 12

Reorder the terms for easier multiplication:
6(9 + 2x) = (x * 6) + 12
(9 * 6 + 2x * 6) = (x * 6) + 12
(54 + 12x) = (x * 6) + 12

Reorder the terms for easier multiplication:
54 + 12x = (6x) + 12

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

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

Solving for variable 'x'.

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

Add '(-6x)' to each side of the equation.
54 + 12x + (-6x) = 12 + (6x) + (-6x)

Combine like terms: 12x + (-6x) = 6x
54 + 6x = 12 + (6x) + (-6x)

Combine like terms: (6x) + (-6x) = 0
54 + 6x = 12 + 0
54 + 6x = 12

Add '-54' to each side of the equation.
54 + -54 + 6x = 12 + -54

Combine like terms: 54 + -54 = 0
0 + 6x = 12 + -54
6x = 12 + -54

Combine like terms: 12 + -54 = -42
6x = -42

Divide each side by '6'.
x = -7

Simplifying
x = -7

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