Let's solve your equation step-by-step. 2/3(3x+1)=5 Step 1: Simplify both sides of the equation. 2/3(3x+1)=5 Simplify: (Show steps) 2x+2/3=5 Step 2: Subtract 2/3 from both sides. 2x+2/3−2/3=5−2/3 2x=13/3 Step 3: Divide both sides by 2. 2x/2=13/3/2 x=13/6 Answer: x=13/6