3(X+1)=-2(x-1)+6

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


Simplifying
3(X + 1) = -2(x + -1) + 6

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

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

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

Combine like terms: 2 + 6 = 8
3 + 3X = 8 + -2x

Solving
3 + 3X = 8 + -2x

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 + -3 + 3X = 8 + -3 + -2x

Combine like terms: 3 + -3 = 0
0 + 3X = 8 + -3 + -2x
3X = 8 + -3 + -2x

Combine like terms: 8 + -3 = 5
3X = 5 + -2x

Divide each side by '3'.
X = 1.666666667 + -0.6666666667x

Simplifying
X = 1.666666667 + -0.6666666667x

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