9x-12(3x-2)=4x+9

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Solution for 9x-12(3x-2)=4x+9 equation:


Simplifying
9x + -12(3x + -2) = 4x + 9

Reorder the terms:
9x + -12(-2 + 3x) = 4x + 9
9x + (-2 * -12 + 3x * -12) = 4x + 9
9x + (24 + -36x) = 4x + 9

Reorder the terms:
24 + 9x + -36x = 4x + 9

Combine like terms: 9x + -36x = -27x
24 + -27x = 4x + 9

Reorder the terms:
24 + -27x = 9 + 4x

Solving
24 + -27x = 9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + -27x + -4x = 9 + 4x + -4x

Combine like terms: -27x + -4x = -31x
24 + -31x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + -31x = 9 + 0
24 + -31x = 9

Add '-24' to each side of the equation.
24 + -24 + -31x = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -31x = 9 + -24
-31x = 9 + -24

Combine like terms: 9 + -24 = -15
-31x = -15

Divide each side by '-31'.
x = 0.4838709677

Simplifying
x = 0.4838709677

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