-[3-2(X-2)-3(X+1)]=6

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Solution for -[3-2(X-2)-3(X+1)]=6 equation: 


Simplifying
-1[3 + -2(X + -2) + -3(X + 1)] = 6

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

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

Reorder the terms:
-1[3 + 4 + -3 + -2X + -3X] = 6

Combine like terms: 3 + 4 = 7
-1[7 + -3 + -2X + -3X] = 6

Combine like terms: 7 + -3 = 4
-1[4 + -2X + -3X] = 6

Combine like terms: -2X + -3X = -5X
-1[4 + -5X] = 6
[4 * -1 + -5X * -1] = 6
[-4 + 5X] = 6

Solving
-4 + 5X = 6

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + 4 + 5X = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 5X = 6 + 4
5X = 6 + 4

Combine like terms: 6 + 4 = 10
5X = 10

Divide each side by '5'.
X = 2

Simplifying
X = 2

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