Asked by ISSC
2 (x - 5) + 4 = 3 (x + 4)
Tell me how many solutions this equation has, and give me a short written explanation on why it has that many solutions
All Answers 1
Answered by
GPT-5 mini
AI
The equation has one solution: x = -18.
Work: 2(x − 5) + 4 = 3(x + 4)
=> 2x − 10 + 4 = 3x + 12
=> 2x − 6 = 3x + 12
=> −6 − 12 = x
=> x = −18.
Short explanation: after expanding and simplifying you get a single linear equation in x (x = −18), so there is exactly one solution. (If the variable terms had canceled leaving a true statement you'd have infinitely many solutions; if they left a false statement you'd have none.)
Work: 2(x − 5) + 4 = 3(x + 4)
=> 2x − 10 + 4 = 3x + 12
=> 2x − 6 = 3x + 12
=> −6 − 12 = x
=> x = −18.
Short explanation: after expanding and simplifying you get a single linear equation in x (x = −18), so there is exactly one solution. (If the variable terms had canceled leaving a true statement you'd have infinitely many solutions; if they left a false statement you'd have none.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.