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

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


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

Reorder the terms:
2(-8 + 3x) = 3(4 + -1x) + 6
(-8 * 2 + 3x * 2) = 3(4 + -1x) + 6
(-16 + 6x) = 3(4 + -1x) + 6
-16 + 6x = (4 * 3 + -1x * 3) + 6
-16 + 6x = (12 + -3x) + 6

Reorder the terms:
-16 + 6x = 12 + 6 + -3x

Combine like terms: 12 + 6 = 18
-16 + 6x = 18 + -3x

Solving
-16 + 6x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-16 + 6x + 3x = 18 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-16 + 9x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 9x = 18 + 0
-16 + 9x = 18

Add '16' to each side of the equation.
-16 + 16 + 9x = 18 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 18 + 16
9x = 18 + 16

Combine like terms: 18 + 16 = 34
9x = 34

Divide each side by '9'.
x = 3.777777778

Simplifying
x = 3.777777778

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