4(3x+6)-3(2x+9)=9

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Solution for 4(3x+6)-3(2x+9)=9 equation:


Simplifying
4(3x + 6) + -3(2x + 9) = 9

Reorder the terms:
4(6 + 3x) + -3(2x + 9) = 9
(6 * 4 + 3x * 4) + -3(2x + 9) = 9
(24 + 12x) + -3(2x + 9) = 9

Reorder the terms:
24 + 12x + -3(9 + 2x) = 9
24 + 12x + (9 * -3 + 2x * -3) = 9
24 + 12x + (-27 + -6x) = 9

Reorder the terms:
24 + -27 + 12x + -6x = 9

Combine like terms: 24 + -27 = -3
-3 + 12x + -6x = 9

Combine like terms: 12x + -6x = 6x
-3 + 6x = 9

Solving
-3 + 6x = 9

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 9 + 3
6x = 9 + 3

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

Divide each side by '6'.
x = 2

Simplifying
x = 2

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