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

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


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

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

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

Combine like terms: 6 + 9 = 15
15 + -2X = 3(3x + -2) + -12

Reorder the terms:
15 + -2X = 3(-2 + 3x) + -12
15 + -2X = (-2 * 3 + 3x * 3) + -12
15 + -2X = (-6 + 9x) + -12

Reorder the terms:
15 + -2X = -6 + -12 + 9x

Combine like terms: -6 + -12 = -18
15 + -2X = -18 + 9x

Solving
15 + -2X = -18 + 9x

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + -15 + -2X = -18 + -15 + 9x

Combine like terms: 15 + -15 = 0
0 + -2X = -18 + -15 + 9x
-2X = -18 + -15 + 9x

Combine like terms: -18 + -15 = -33
-2X = -33 + 9x

Divide each side by '-2'.
X = 16.5 + -4.5x

Simplifying
X = 16.5 + -4.5x

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