2X-3(-2x-4)=-5x-9

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Solution for 2X-3(-2x-4)=-5x-9 equation:


Simplifying
2X + -3(-2x + -4) = -5x + -9

Reorder the terms:
2X + -3(-4 + -2x) = -5x + -9
2X + (-4 * -3 + -2x * -3) = -5x + -9
2X + (12 + 6x) = -5x + -9

Reorder the terms:
12 + 2X + 6x = -5x + -9

Reorder the terms:
12 + 2X + 6x = -9 + -5x

Solving
12 + 2X + 6x = -9 + -5x

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 + 2X + -12 + 6x = -9 + -12 + -5x

Reorder the terms:
12 + -12 + 2X + 6x = -9 + -12 + -5x

Combine like terms: 12 + -12 = 0
0 + 2X + 6x = -9 + -12 + -5x
2X + 6x = -9 + -12 + -5x

Combine like terms: -9 + -12 = -21
2X + 6x = -21 + -5x

Add '-6x' to each side of the equation.
2X + 6x + -6x = -21 + -5x + -6x

Combine like terms: 6x + -6x = 0
2X + 0 = -21 + -5x + -6x
2X = -21 + -5x + -6x

Combine like terms: -5x + -6x = -11x
2X = -21 + -11x

Divide each side by '2'.
X = -10.5 + -5.5x

Simplifying
X = -10.5 + -5.5x

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