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Q.

Solve the linear equation x−5 3 = x−3 5   .


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a

x=8

b

x=6

c

x=32

d

x=12 

answer is A.

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Detailed Solution

Given equation is x−5 3 = x−3 5  .
 Using cross-multiplication method,
⇒5× x−5 =3× x−3 ⇒5x−25=3x−9  
Transposing 3x to the left-hand side and -25 to the right-hand side.
⇒5x−3x=−9+25 ⇒2x=16 ⇒x= 16 2 ⇒x=8  
Hence, the value of variable x is 8.
Correct option is 1.
 
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