Question

Encontre o valor de x.

Answer 1

Olá, Priscila1807!

$\frac{x-3}{2} + 5 = 4x + \frac{1}{3}$

$\frac{3x-9+30=24x+2}{6}$

$3x - 9 + 30 = 24x + 2$

$3x - 24x = 2 - 30 + 9$

$-21x = -19$

$\boxed{x = \frac{-19}{-21} = \frac{19}{21}}$

Answer 2

$\dfrac{x - 3}{2} + 5 = 4x + \dfrac{1}{3} \\ \\ \\ \dfrac{x - 3}{2} + 2*5 = 3*4x + \dfrac{1}{3} \\ \\ \\ \dfrac{x - 3 + 10}{2} = \dfrac{12x + 1}{3} \\ \\ \\ \dfrac{x + 7}{2} = \dfrac{12x + 1}{3} \\ \\ \\ \dfrac{x + 7}{2} - \dfrac{12x + 1}{3} = 0 \\ \\ \\ MMC \ de 2, \ 3 \ = 6 \\ \\ \\ \dfrac{3x + 21 - 24x - 2}{6} = 0 \\ \\ \\ \dfrac{-21x + 19}{6} =0 \\ \\ \\ -21x + 19 = 0 (-1) \\ \\ \\ 21x - 19 = 0 \\ \\ \\ 21x = 19 \\ \\ \\ \fbox{ \ x = \dfrac{19}{21} \ }$