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

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


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

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

Combine like terms: 2 + 3 = 5
5 + -3X = 9 + -2(X + -3)

Reorder the terms:
5 + -3X = 9 + -2(-3 + X)
5 + -3X = 9 + (-3 * -2 + X * -2)
5 + -3X = 9 + (6 + -2X)

Combine like terms: 9 + 6 = 15
5 + -3X = 15 + -2X

Solving
5 + -3X = 15 + -2X

Solving for variable 'X'.

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

Add '2X' to each side of the equation.
5 + -3X + 2X = 15 + -2X + 2X

Combine like terms: -3X + 2X = -1X
5 + -1X = 15 + -2X + 2X

Combine like terms: -2X + 2X = 0
5 + -1X = 15 + 0
5 + -1X = 15

Add '-5' to each side of the equation.
5 + -5 + -1X = 15 + -5

Combine like terms: 5 + -5 = 0
0 + -1X = 15 + -5
-1X = 15 + -5

Combine like terms: 15 + -5 = 10
-1X = 10

Divide each side by '-1'.
X = -10

Simplifying
X = -10

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