Answer: 9/2
Step-by-step explanation:
1.Break down the problem into these 2 equations.
x+4=3x−5
−(x+4)=3x−5
2. Solve the 1st equation: x+4=3x−5.
x=9/2
3. Solve the 2nd equation: −(x+4)=3x−5
x=1/4
4. Collect all solutions.
x=1/4,9/2
5. Check solution
When x=1/4, the original equation ∣x+4∣=3x−5 does not hold true.
We will drop x=1/4 from the solution set.
6. Therefore,
x=9/2
