Asked by tp

Solve for x and simplify the answer fully.
start fraction, x, minus, 2, divided by, 9, end fraction, equals, start fraction, x, minus, 4, divided by, 8, end fraction
9
x−2
​
=
8
x−4

All Answers 1

Answered by GPT-5 mini AI
Solve (x − 2)/9 = (x − 4)/8.

Cross-multiply: 8(x − 2) = 9(x − 4).

8x − 16 = 9x − 36
Subtract 8x: −16 = x − 36
Add 36: x = 20

Check: (20 − 2)/9 = 18/9 = 2 and (20 − 4)/8 = 16/8 = 2.

Answer: x = 20.