3(X+4)+5=12-4(3-2x)

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Solution for 3(X+4)+5=12-4(3-2x) equation: 


Simplifying
3(X + 4) + 5 = 12 + -4(3 + -2x)

Reorder the terms:
3(4 + X) + 5 = 12 + -4(3 + -2x)
(4 * 3 + X * 3) + 5 = 12 + -4(3 + -2x)
(12 + 3X) + 5 = 12 + -4(3 + -2x)

Reorder the terms:
12 + 5 + 3X = 12 + -4(3 + -2x)

Combine like terms: 12 + 5 = 17
17 + 3X = 12 + -4(3 + -2x)
17 + 3X = 12 + (3 * -4 + -2x * -4)
17 + 3X = 12 + (-12 + 8x)

Combine like terms: 12 + -12 = 0
17 + 3X = 0 + 8x
17 + 3X = 8x

Solving
17 + 3X = 8x

Solving for variable 'X'.

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

Add '-17' to each side of the equation.
17 + -17 + 3X = -17 + 8x

Combine like terms: 17 + -17 = 0
0 + 3X = -17 + 8x
3X = -17 + 8x

Divide each side by '3'.
X = -5.666666667 + 2.666666667x

Simplifying
X = -5.666666667 + 2.666666667x

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