Solve 8x+3+3x+8=1
\boxed{x = -7, 7}
Step 1 :8x+3+3x+8=1
Step 2 :Find a common denominator: (x+3)(x+8)
Step 3 :8(x+8)+3(x+3)(x+3)(x+8)=1
Step 4 :8x+64+3x+9=(x+3)(x+8)
Step 5 :11x+73=x2+11x+24
Step 6 :x2−49=0
Step 7 :x2=49
Step 8 :x=±49
Step 9 :\boxed{x = -7, 7}