Answer:
x = 7
Step-by-step explanation:
10 / 4 = x + 8 / x - 1
[cross multiply]
10 (x - 1) = 4 (x + 8)
[distribute the factors]
10x - 10 = 4x + 32
+ 10 + 10
[add 10 to both sides to cancel out -10]
10x = 4x + 42
-4x -4x
[subtract both sides by 4x to cancel out 4x]
6x = 42
÷6 ÷6
[divide both sides by 6 to simplify 6x to x]
x = 7
________
x = 7 → 10 / 4 = x + 8 / x - 1 →
(7) + 8 / (7) - 1 → 15 / 6 →
15 ÷ 3 / 6 ÷ 3 → 5 / 2 →
5 × 2 / 2 × 2 → 10 / 4 = 10 / 4
