-X-2+3(x-3)=3(4-x)-3

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


Simplifying
-1X + -2 + 3(x + -3) = 3(4 + -1x) + -3

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

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

Combine like terms: -2 + -9 = -11
-11 + -1X + 3x = 3(4 + -1x) + -3
-11 + -1X + 3x = (4 * 3 + -1x * 3) + -3
-11 + -1X + 3x = (12 + -3x) + -3

Reorder the terms:
-11 + -1X + 3x = 12 + -3 + -3x

Combine like terms: 12 + -3 = 9
-11 + -1X + 3x = 9 + -3x

Solving
-11 + -1X + 3x = 9 + -3x

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + -1X + 11 + 3x = 9 + 11 + -3x

Reorder the terms:
-11 + 11 + -1X + 3x = 9 + 11 + -3x

Combine like terms: -11 + 11 = 0
0 + -1X + 3x = 9 + 11 + -3x
-1X + 3x = 9 + 11 + -3x

Combine like terms: 9 + 11 = 20
-1X + 3x = 20 + -3x

Add '-3x' to each side of the equation.
-1X + 3x + -3x = 20 + -3x + -3x

Combine like terms: 3x + -3x = 0
-1X + 0 = 20 + -3x + -3x
-1X = 20 + -3x + -3x

Combine like terms: -3x + -3x = -6x
-1X = 20 + -6x

Divide each side by '-1'.
X = -20 + 6x

Simplifying
X = -20 + 6x

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