Answer:
A one solution because it's x=1
Step By Step explanation:
this is the original problem
8x-3=3x+2
we want to have x by itself so. . .
we add three on both sides. it cancels -3. And 2+3=5
8x=3x+5
we subtract 3x on both sides so 8x-3x=5x and 3x cancels on the other side
5x=5
we divide by 5 on both sides to get x by itself
x=1
if it was 1=1 or x=x (the same on both side) it would've been infinite solutions. if the numbers didn't match like 4=6 it would've been no solution