Answer :
Given:
[tex]5(2x+1)=11[/tex]Using distributive property.
[tex]a(b+c)=ab+ac,\text{ here a=5, b=2x and c=1.}[/tex][tex]5\times2x+5\times1=11[/tex][tex]10x+5=11[/tex]Subtracting 5 from both sides of the equation, we get
[tex]10x+5-5=11-5[/tex][tex]10x=6[/tex]Dividing both sides by 10 of the equation, we get
[tex]\frac{10x}{10}=\frac{6}{10}[/tex][tex]x=\frac{6}{10}[/tex][tex]x=\frac{3}{5}=0.6[/tex]Hence the value of x is 3/5 or 0.6.