3(3x+2)-4(3x-3)=12

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Solution for 3(3x+2)-4(3x-3)=12 equation: 


Simplifying
3(3x + 2) + -4(3x + -3) = 12

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

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

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

Combine like terms: 6 + 12 = 18
18 + 9x + -12x = 12

Combine like terms: 9x + -12x = -3x
18 + -3x = 12

Solving
18 + -3x = 12

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -3x = 12 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 12 + -18
-3x = 12 + -18

Combine like terms: 12 + -18 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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