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

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


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

Reorder the terms:
9(6 + 3x) + -6(7x + -3) = 12
(6 * 9 + 3x * 9) + -6(7x + -3) = 12
(54 + 27x) + -6(7x + -3) = 12

Reorder the terms:
54 + 27x + -6(-3 + 7x) = 12
54 + 27x + (-3 * -6 + 7x * -6) = 12
54 + 27x + (18 + -42x) = 12

Reorder the terms:
54 + 18 + 27x + -42x = 12

Combine like terms: 54 + 18 = 72
72 + 27x + -42x = 12

Combine like terms: 27x + -42x = -15x
72 + -15x = 12

Solving
72 + -15x = 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 + -15x = 12 + -72

Combine like terms: 72 + -72 = 0
0 + -15x = 12 + -72
-15x = 12 + -72

Combine like terms: 12 + -72 = -60
-15x = -60

Divide each side by '-15'.
x = 4

Simplifying
x = 4

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