9-4(3x+1)=3(6-3x)-9

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Solution for 9-4(3x+1)=3(6-3x)-9 equation: 


Simplifying
9 + -4(3x + 1) = 3(6 + -3x) + -9

Reorder the terms:
9 + -4(1 + 3x) = 3(6 + -3x) + -9
9 + (1 * -4 + 3x * -4) = 3(6 + -3x) + -9
9 + (-4 + -12x) = 3(6 + -3x) + -9

Combine like terms: 9 + -4 = 5
5 + -12x = 3(6 + -3x) + -9
5 + -12x = (6 * 3 + -3x * 3) + -9
5 + -12x = (18 + -9x) + -9

Reorder the terms:
5 + -12x = 18 + -9 + -9x

Combine like terms: 18 + -9 = 9
5 + -12x = 9 + -9x

Solving
5 + -12x = 9 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
5 + -12x + 9x = 9 + -9x + 9x

Combine like terms: -12x + 9x = -3x
5 + -3x = 9 + -9x + 9x

Combine like terms: -9x + 9x = 0
5 + -3x = 9 + 0
5 + -3x = 9

Add '-5' to each side of the equation.
5 + -5 + -3x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 9 + -5
-3x = 9 + -5

Combine like terms: 9 + -5 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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