9X-6(X-2)=4(3X-1)-2

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Solution for 9X-6(X-2)=4(3X-1)-2 equation: 


Simplifying
9X + -6(X + -2) = 4(3X + -1) + -2

Reorder the terms:
9X + -6(-2 + X) = 4(3X + -1) + -2
9X + (-2 * -6 + X * -6) = 4(3X + -1) + -2
9X + (12 + -6X) = 4(3X + -1) + -2

Reorder the terms:
12 + 9X + -6X = 4(3X + -1) + -2

Combine like terms: 9X + -6X = 3X
12 + 3X = 4(3X + -1) + -2

Reorder the terms:
12 + 3X = 4(-1 + 3X) + -2
12 + 3X = (-1 * 4 + 3X * 4) + -2
12 + 3X = (-4 + 12X) + -2

Reorder the terms:
12 + 3X = -4 + -2 + 12X

Combine like terms: -4 + -2 = -6
12 + 3X = -6 + 12X

Solving
12 + 3X = -6 + 12X

Solving for variable 'X'.

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

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

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

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

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

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

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

Divide each side by '-9'.
X = 2

Simplifying
X = 2

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