3(2-X)+8=2(X-4)+6

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Solution for 3(2-X)+8=2(X-4)+6 equation: 


Simplifying
3(2 + -1X) + 8 = 2(X + -4) + 6
(2 * 3 + -1X * 3) + 8 = 2(X + -4) + 6
(6 + -3X) + 8 = 2(X + -4) + 6

Reorder the terms:
6 + 8 + -3X = 2(X + -4) + 6

Combine like terms: 6 + 8 = 14
14 + -3X = 2(X + -4) + 6

Reorder the terms:
14 + -3X = 2(-4 + X) + 6
14 + -3X = (-4 * 2 + X * 2) + 6
14 + -3X = (-8 + 2X) + 6

Reorder the terms:
14 + -3X = -8 + 6 + 2X

Combine like terms: -8 + 6 = -2
14 + -3X = -2 + 2X

Solving
14 + -3X = -2 + 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.
14 + -3X + -2X = -2 + 2X + -2X

Combine like terms: -3X + -2X = -5X
14 + -5X = -2 + 2X + -2X

Combine like terms: 2X + -2X = 0
14 + -5X = -2 + 0
14 + -5X = -2

Add '-14' to each side of the equation.
14 + -14 + -5X = -2 + -14

Combine like terms: 14 + -14 = 0
0 + -5X = -2 + -14
-5X = -2 + -14

Combine like terms: -2 + -14 = -16
-5X = -16

Divide each side by '-5'.
X = 3.2

Simplifying
X = 3.2

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