Math, asked by oindrayee41, 10 months ago

3(x-2)+2(x-5)=9x/2 .find x​

Answers

Answered by janhvivd16
1

Answer:

3x-6+2x-5=9x/2

5x-11=9x/2

2(5x-11)=9x

10x-22=9x

10x-9x=22

X=22

Answered by Rudra0936
12
  • Given
  • 3(x - 2)  + 2(x - 5) =  \frac{9x}{2}
  • We have to solve it as per the rules

First we have to multiply LHS 3 (x-2) and 2(x-5) and then add the products

Which is as follows :

 =  > 3(x - 2) + 2(x - 5) =  \frac{9x}{2}  \\  \\  =  > 3x - 6 + 2x - 10 =  \frac{9x}{2}  \\  \\  =  > 5x - 16 =  \frac{9x}{2}

Now, We have to cross multiply LHS and RHS ✓

 =  > 2(5x - 16) = 9x \\  \\  =  > 10x - 32 = 9x \\ \\

NOw we have to take 9x in LHS and Subtract from 10x because boths variable is X. ✓

 =  > 10x - 9x = 32 \\  \\  =  > x = 32

So by solving the problem we find the value of

x = 32

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