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

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


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

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

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

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

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

Solving
3 + 2X + 3x = 2

Solving for variable 'X'.

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

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

Reorder the terms:
3 + -3 + 2X + 3x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 2X + 3x = 2 + -3
2X + 3x = 2 + -3

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

Add '-3x' to each side of the equation.
2X + 3x + -3x = -1 + -3x

Combine like terms: 3x + -3x = 0
2X + 0 = -1 + -3x
2X = -1 + -3x

Divide each side by '2'.
X = -0.5 + -1.5x

Simplifying
X = -0.5 + -1.5x

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