5x-[2x-3(X-2)]=3x+12

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Solution for 5x-[2x-3(X-2)]=3x+12 equation: 


Simplifying
5x + -1[2x + -3(X + -2)] = 3x + 12

Reorder the terms:
5x + -1[2x + -3(-2 + X)] = 3x + 12
5x + -1[2x + (-2 * -3 + X * -3)] = 3x + 12
5x + -1[2x + (6 + -3X)] = 3x + 12

Reorder the terms:
5x + -1[6 + -3X + 2x] = 3x + 12
5x + [6 * -1 + -3X * -1 + 2x * -1] = 3x + 12
5x + [-6 + 3X + -2x] = 3x + 12

Reorder the terms:
-6 + 3X + 5x + -2x = 3x + 12

Combine like terms: 5x + -2x = 3x
-6 + 3X + 3x = 3x + 12

Reorder the terms:
-6 + 3X + 3x = 12 + 3x

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

Combine like terms: 3x + -3x = 0
-6 + 3X + 0 = 12 + 3x + -3x
-6 + 3X = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 3X = 12 + 0
-6 + 3X = 12

Solving
-6 + 3X = 12

Solving for variable 'X'.

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

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

Combine like terms: -6 + 6 = 0
0 + 3X = 12 + 6
3X = 12 + 6

Combine like terms: 12 + 6 = 18
3X = 18

Divide each side by '3'.
X = 6

Simplifying
X = 6

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