[tex]\sf\underline\purple{Question}[/tex]
[tex]\longrightarrow\dfrac{5x+1}{2}=3x[/tex]
[tex]\sf\underline\blue{Answer}[/tex]
[tex]\leadsto\dfrac{5x+1}{2}=3x[/tex]
[tex]\leadsto{5x+1=3x×2}[/tex]
[tex]\leadsto{5x+1=6x}[/tex]
[tex]\leadsto{1=6x-5x}[/tex]
[tex]\leadsto{1=1x}[/tex]
[tex]\leadsto{x=}\dfrac{1}{1}=1[/tex]
[tex]\sf\underline\green{Verification:}[/tex]
[tex]\leadsto\dfrac{5x+1}{2}=3x[/tex]
Putting the values,
[tex]\mapsto\dfrac{5×(1)+1}{2}=3×(1)[/tex]
[tex]\mapsto\dfrac{5+1}{2}=3[/tex]
[tex]\mapsto\sf\cancel\dfrac{6}{2}=3[/tex]
[tex]\mapsto\sf{3=3}[/tex]
Hence, our answer is Verified.