Answer: It only has one solution.
Explanation:
Let's solve your equation step-by-step. 
3( 7 /3 + 4 /3 )−2x+8=5x+12 
Step 1: Simplify both sides of the equation. 
3( 7 /3 + 4 /3 )−2x+8=5x+12 
11+−2x+8=5x+12 
(−2x)+(11+8)=5x+12(Combine Like Terms) 
−2x+19=5x+12 
−2x+19=5x+12 
Step 2: Subtract 5x from both sides. 
−2x+19−5x=5x+12−5x 
−7x+19=12 
Step 3: Subtract 19 from both sides. 
−7x+19−19=12−19 
−7x=−7 
Step 4: Divide both sides by -7. 
−7x /−7 = −7 /−7 
x=1 
Answer: 
x=1