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

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


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

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

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

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

Combine like terms: -6 + -6 = -12
-12 + 2X + -3X = 1

Combine like terms: 2X + -3X = -1X
-12 + -1X = 1

Solving
-12 + -1X = 1

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 12 + -1X = 1 + 12

Combine like terms: -12 + 12 = 0
0 + -1X = 1 + 12
-1X = 1 + 12

Combine like terms: 1 + 12 = 13
-1X = 13

Divide each side by '-1'.
X = -13

Simplifying
X = -13

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