MHB Solving 4(2x-1)=3(3x+2): Step 1-3

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To solve the equation 4(2x-1)=3(3x+2), the first step simplifies to 8x-4=9x+6. Rearranging the equation leads to -x=10. Multiplying both sides by -1 results in x=-10. The final solution indicates that the value of x is -10.
aarce
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I have been given to solve:

4(2x-1)=3(3x+2)

Here is my work so far:

step 1: 8x-4=9x+6
step 2: -x=10
step 3: ?
 
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I have edited your post to include the given problem within the body of the post...this makes things more clear for everyone.

Your steps so far look perfect...what would happen if you now multiplied both sides by $-1$?
 
You just try to solve your problem like this:-
Problem: 4(2x-1)=3(3x+2)

Solution= 8x-4=9x+6
You just take the variable to one side and constant to other side
=-6-4=9x-8x
=-10=x
=x=-10
So the value of x is equal to -10.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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