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

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


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

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

Reorder the terms:
12 + 12x + -6x = 3x + -9

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

Reorder the terms:
12 + 6x = -9 + 3x

Solving
12 + 6x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 6x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
12 + 3x = -9 + 0
12 + 3x = -9

Add '-12' to each side of the equation.
12 + -12 + 3x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -9 + -12
3x = -9 + -12

Combine like terms: -9 + -12 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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