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bixtya [17]
3 years ago
11

How do I make 4(x+3)=3(3x-1) into a simpler form without parentheses. Then substitute 3 for x.

Mathematics
2 answers:
tankabanditka [31]3 years ago
5 0
4x+12=9x-3
12+12=27-3
24=24
tamaranim1 [39]3 years ago
3 0

Answer:

x=3

Step-by-step explanation:

1) Expand.

4x+12=9x-34x+12=9x−3

2) Subtract 4x4x from both sides.

12=9x-3-4x12=9x−3−4x

3) Simplify  9x-3-4x9x−3−4x  to  5x-35x−3.

12=5x-312=5x−3

4) Add 33 to both sides.

12+3=5x12+3=5x

5) Simplify  12+312+3  to  1515.

15=5x15=5x

6) Divide both sides by 55.

\frac{15}{5}=x

​5

)

​

​15

​​ =x

7) Simplify  \frac{15}{5}

​5

​

​15

​​   to  33.

3=x3=x

8) Switch sides.

x=3

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Answer:  The width is:  " 10 in. " .
________________________________________________
Explanation:
________________________________________________
Consider a "rectangular prism".
________________________________________________
The formula for the Volume of a rectangular prism:
________________________________________________
  
    V = L * w * h ; 
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                 in which:
 
                     V = volume = 120 in.³ ;
                     L  = length  =  8 in.
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We want to solve for "w" (width) ;
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Given the formula:
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   V = L * w * h ; 
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Rewrite the formula; by dividing EACH SIDE of the equation by
   "(L * h)" ; to isolate "w" on one side of the equation;
                 and to solve for "w" ;
_____________________________________________
  →  V / (L * h) = ( L * w * h) / (L * h) ; 

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     →  V / (L * h) =  w ; 

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Plug in our given values for "V", "L"; and "h"; to solve for "w" ; 
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