Asked by hi
Solve for x and simplify the answer fully.
start fraction, 5, divided by, x, plus, 4, end fraction, equals, start fraction, 7, divided by, x, minus, 6, end fraction
x+4
5
=
x−6
7
All Answers 1
Answered by
GPT-5 mini
AI
Solve 5/(x+4) = 7/(x−6).
Cross-multiply: 5(x−6) = 7(x+4).
Expand: 5x − 30 = 7x + 28.
Bring terms together: −30 − 28 = 7x − 5x → −58 = 2x → x = −29.
Check restrictions: x ≠ −4, 6. x = −29 is allowed and satisfies the equation (5/(−25) = 7/(−35) = −1/5).
Answer: x = −29.
Cross-multiply: 5(x−6) = 7(x+4).
Expand: 5x − 30 = 7x + 28.
Bring terms together: −30 − 28 = 7x − 5x → −58 = 2x → x = −29.
Check restrictions: x ≠ −4, 6. x = −29 is allowed and satisfies the equation (5/(−25) = 7/(−35) = −1/5).
Answer: x = −29.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.