Question 798899
Here is a sketch. (I drew the triangle a little shorter than it should be, just to illustrate a point).
{{{drawing(300,180,-5,5,-1,5,
triangle(-4,0,4,0,0,4),
locate(-4.3,0,A),locate(4,0,B),
locate(-0.1,4.5,C)
)}}} It is an isosceles triangle.
The fact that angles A and B have the same measure means that the sides opposite those angles  (side AC and side AB)  have the same measure.
(In any triangle, a longer side faces a larger angle, and equally long sides face equally large angles).
 
{{{x}}}= measure of side AC (in inches) = measure of side BC (in inches)
{{{x+x+8=22}}} because AB measures 8 inches and the perimeter is 22 inches
 
Solving the equation:
{{{x+x+8=22}}}
{{{2x+8=22}}}
{{{2x=22-8}}} 
{{{2x=14}}}
{{{x=14/2}}}
{{{highlight(x=7)}}}