Answer:
[tex]\underline{\underline{ \boxed{ans(1)}}} \: \boxed{x = 11} \\ \\ \underline{\underline{ \boxed{ans(2)}}} \: \boxed{x = 9} \\ \\ \underline{\underline{ \boxed{ans(3)}}} \: \boxed{x = 10} \\ \\ \underline{\underline{ \boxed{ans(4)}}} \: \boxed{x = 6} \\ \\ \underline{\underline{ \boxed{ans(5)}}} \: \boxed{x = 7} \\ \\ \underline{\underline{ \boxed{ans(6)}}} \: \boxed{x = 13} \\ \\ [/tex]
Step-by-step explanation:
[tex]\underline{\underline{ \boxed{ans(1)}}} \\ \frac{54}{36} = \frac{24}{x + 5} : \\ (36)(24) = (54)(x + 5) \\ (x + 5) = \frac{(36)(24)}{(54)} \\ x = 16 - 5 \\ \boxed{x = 11} \\ \\ \underline{\underline{ \boxed{ans(2)}}} \\ \frac{(20 + 8)}{20} = \frac{(2x + 3)}{15} : \\ (20)(2x + 3) = (15)(28) \\ (2x + 3) = \frac{(15)(28)}{(20)} \\ 2x = 21 - 3 \\2x = 18 \\ \boxed{x = 9} \\ \\ \underline{\underline{ \boxed{ans(3)}}} \\ \frac{24}{28} = \frac{x + 8}{3x - 9} : \\ (28)(x + 8) = (24)(3x - 9) \\ 28x + 224 = 72x- 216 \\ 72x - 28x = 224 + 216 \\ 44x = 440 \\ \boxed{x = 10} \\ \\ \underline{\underline{ \boxed{ans(4)}}} \\ \frac{39}{4x + 2} = \frac{42}{5x - 2} : \\ (42)(4x + 2) = (39)(5x - 2) \\ 168x + 84 = 195x- 78 \\ 195x - 168x = 84 + 78 \\ 27x = 162 \\ \boxed{x = 6} \\ \\ \underline{\underline{ \boxed{ans(5)}}} \\ \frac{48}{4x + 4} = \frac{60}{7x - 9} : \\ (60)(4x + 4) = (48)(7x - 9) \\ 240x + 240 = 336x- 432 \\ 336x - 240x = 240 + 432 \\ 96x = 672 \\ \boxed{x = 7} \\ \\ \underline{\underline{ \boxed{ans(6)}}} \\ \frac{40}{40 - 5} = \frac{3x - 7}{2x + 2} : \\ (40)(2x + 2) = (35)(3x - 7) \\ 80x + 80 = 105x- 245 \\ 105x - 80x = 80 + 245 \\ 25x = 325 \\ \boxed{x = 13} \\ \\ [/tex]
