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

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


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

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

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

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

Solving
12 + -7x = -9

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -7x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -9 + -12
-7x = -9 + -12

Combine like terms: -9 + -12 = -21
-7x = -21

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

Simplifying
x = 3

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