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

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


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

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

Reorder the terms:
12 + 2x + -9x = 4x + -12

Combine like terms: 2x + -9x = -7x
12 + -7x = 4x + -12

Reorder the terms:
12 + -7x = -12 + 4x

Solving
12 + -7x = -12 + 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.
12 + -7x + -4x = -12 + 4x + -4x

Combine like terms: -7x + -4x = -11x
12 + -11x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -11x = -12 + 0
12 + -11x = -12

Add '-12' to each side of the equation.
12 + -12 + -11x = -12 + -12

Combine like terms: 12 + -12 = 0
0 + -11x = -12 + -12
-11x = -12 + -12

Combine like terms: -12 + -12 = -24
-11x = -24

Divide each side by '-11'.
x = 2.181818182

Simplifying
x = 2.181818182

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