9(6x+6)-6(7x-3)=12

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Solution for 9(6x+6)-6(7x-3)=12 equation:


Simplifying
9(6x + 6) + -6(7x + -3) = 12

Reorder the terms:
9(6 + 6x) + -6(7x + -3) = 12
(6 * 9 + 6x * 9) + -6(7x + -3) = 12
(54 + 54x) + -6(7x + -3) = 12

Reorder the terms:
54 + 54x + -6(-3 + 7x) = 12
54 + 54x + (-3 * -6 + 7x * -6) = 12
54 + 54x + (18 + -42x) = 12

Reorder the terms:
54 + 18 + 54x + -42x = 12

Combine like terms: 54 + 18 = 72
72 + 54x + -42x = 12

Combine like terms: 54x + -42x = 12x
72 + 12x = 12

Solving
72 + 12x = 12

Solving for variable 'x'.

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

Add '-72' to each side of the equation.
72 + -72 + 12x = 12 + -72

Combine like terms: 72 + -72 = 0
0 + 12x = 12 + -72
12x = 12 + -72

Combine like terms: 12 + -72 = -60
12x = -60

Divide each side by '12'.
x = -5

Simplifying
x = -5

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