3(6-x)=12(x-3)-5(2-x)

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To solve this equation, you'll need to use the distributive property and combine like terms on both sides.

First, distribute on both sides:

3(6-x) = 18-3x

12(x-3) = 12x - 36

5(2-x) = 10-5x

Now, substitute these expressions back into the original equation:

18-3x = 12x - 36 - 10 + 5x

Now, combine like terms:

15 - 3x = 12x - 36 - 10 + 5x
15 - 3x = 12x - 46 + 5x

Now, isolate the variable terms:

15 - 3 = 17x - 46

Now, combine like terms again:

12 = 17x - 46

Now, isolate the variable term:

17x = 12 + 46

17x = 58

x = 58/17

Therefore, the solution to the equation is x = 58/17