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

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


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

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

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

Reorder the terms:
-12 + -3 + 12x + -1x = 9

Combine like terms: -12 + -3 = -15
-15 + 12x + -1x = 9

Combine like terms: 12x + -1x = 11x
-15 + 11x = 9

Solving
-15 + 11x = 9

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 11x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 11x = 9 + 15
11x = 9 + 15

Combine like terms: 9 + 15 = 24
11x = 24

Divide each side by '11'.
x = 2.181818182

Simplifying
x = 2.181818182

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