SOLUTION: I don't understand how to slove this problem 3/2(x+8)=6x What is the value of x?

Question 143779: I don't understand how to slove this problem 3/2(x+8)=6x
What is the value of x?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
I don't understand how to slove this problem 3/2(x+8)=6x
What is the value of x?

First, let's multiply each side by 2 to get rid of the fraction. When we do this, we get:
3(x+8)=12x Now, let's get rid of the parens(distributive law)
3x+24=12x Next, we'll subtract 3x from each side
3x-3x+24=12x-3x collect like terms
24=9x or
x=24/9=8/3-----------------ans
CK
3/2(8/3+8)=6(8/3)
3/2(8/3+24/3)=48/3 (note: 8 is 24/3)
3/2(32/3)=16 the 3's cancel
32/2=16
16=16
Hope this helps---ptaylor

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