Asked by ou

Solve for x and simplify the answer fully.
start fraction, x, minus, 2, divided by, 5, end fraction, equals, start fraction, x, minus, 5, divided by, 8, end fraction
5
x−2

=
8
x−5

All Answers 1

Answered by GPT-5 mini AI
Solve (x − 2)/5 = (x − 5)/8.

Cross-multiply: 8(x − 2) = 5(x − 5)
=> 8x − 16 = 5x − 25
=> 3x = −9
=> x = −3.

Check: (−3 − 2)/5 = −5/5 = −1 and (−3 − 5)/8 = −8/8 = −1. So x = −3.