Solving 4(2x-1)=3(3x+2): Step 1-3

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SUMMARY

The equation 4(2x-1)=3(3x+2) simplifies to 8x-4=9x+6 through distribution. By isolating the variable, the solution is found to be x=-10 after rearranging the equation. The steps involved include moving all variable terms to one side and constant terms to the other, ultimately leading to the conclusion that x equals -10.

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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.
 

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