What is the value of x? x + 4/5 equals 11

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.

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4