Question

Encontre o valor de x para que 13 (x-5)/3 seja igual a 26 (x+5)/7

Answer 1

13 (x-5)/3 = 26 (x+5)/7 ====> *(21)
91(x-5) = 78(x+5)
91x-455 = 78x+390
91x -78x = 390 +455
13x = 845
x = 845/13
x = 65 ✓

Answer 2

Olá!

$\frac{13(x-5)}{3} = \frac{26(x+5)}{7} \\ 13 \cdot 7(x - 5) = 26 \cdot 3(x + 5) \\ 91(x-5) = 78(x+5) \\ 91x - 455 = 78x + 390 \\ 91x - 78x = 390 + 455 \\ 13x = 845 \\ x = \frac{845}{13} \\ x = 65$

Bons estudos!