Step 1 :Step 1: \( \frac{1}{2}(4 x+6)=-5 x+24.7 \)
Step 2 :Step 2: \( 2x+3=-5x+24.7 \)
Step 3 :Step 3: \( 7x=21.7 \)
Step 4 :Step 4: \( x=3 \)