1. \(\frac{2x}{x + 6} = 1\)
By cross multiplication
2x = x + 6
⇒ 2x – x = 6 | On transposing x
⇒ x = 6
2. 10 = x + 3
⇒ 10 – 3 = x | On transposing 3
⇒ 7 = x
⇒ x = 7
3. 16 = 7x – 9
⇒ 16 + 9 = 7x | On transposing – 9
⇒ 25 = 7x
⇒ 7x = 25
⇒ 7x/7 = 25/7
On dividing by 7 on both sides
x = 25/7
4. \(\frac{x + 5}x = 2 \frac{2}{3}\)
\(\frac{x + 5}x = \frac{8}{3}\)
By cross multiplication
⇒ 3(x + 5) = 8x
⇒ 3x + 15 = 8x
⇒ 3x – 8x = – 15
On transposing 8x and 15
⇒ – 5x = – 15
⇒ -5x/-5 = -15/-5 | On dividing by – 5 on both sides
x = 3