Isolate the x.
x + 4/5 = 11
Note the equal sign. What you do to one side, you do to the other. Subtract 4/5 from both sides
x + 4/5 (-4/5) = 11 (-4/5)
x = 11 - 4/5
Note that 11 = 10 5/5
x = 10 5/5 - 4/5
Simplify
x = 10 1/5
10 1/5 is your answer for x.
hope this helps
let's multiply both sides by the fractions LCD, in this case, we only have one fraction, so the LCD will just be 5, so let's multiply both sides by 5, to do away with the denominators.
[tex]\bf x+\cfrac{4}{5}=11\implies \stackrel{\textit{times 5 on both}}{5\left( x+\cfrac{4}{5} \right)=5(11)}\implies 5x+4=55 \\\\\\ 5x=51\implies x=\cfrac{51}{5}\implies x=10\frac{1}{5}[/tex]
