Small Engine Troubleshooting Problems? Ask a Mechanic Now.
This is MTD engine. But it is very similar to the Briggs in the throttle and choke setup. See yours in the above link.
Here is the Briggs setup. The cable on the lower right, with the white plastic piece is the throttle cable. Yu loosen the clip that holds the outer cable and move it in or out to give the throttle more throw. Usually you will move cable housing to the right, then clamp it down and move the throttle to the choke position, toward the end of the stroke, the throttle lever comes up and pushes the end of the choke to close it. You have to keep adjusting the cable till it moves the choke to fully closed for starting.
Can you attach picture of your linkage? look for attaching icon near typing bar, tree or paperclip usually. How does your cable adjust if it is not held with clamp?
OK< let's try for picture.
See link above. This is not yours, I know that, but using it as a guide, you have three levers on the throttle bracket, the top ,right hand lever is the governor lever, it has to be a long solid link , that goes from lever to the throttle lever on the carburetor. The center lever , is where the cable attaches, and the left end lever is a solid link that is the choke link, and goes from lever to the choke lever on carburetor inlet. When throttle cable is moved to maximum travel, it should push the choke lever and close the choke flap.