Question

para qual valor de x a expressao x/2+2(x+1)/3 e igual a -4

Answer 1

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

$2 \frac{x + 1}{3} = \frac{2}{1} \times \frac{x + 1}{3} = \frac{2x + 2}{3}$

Então

$\frac{x}{2} + \frac{2x + 2}{3} = \frac{x(3) +2(2x + 2) }{2 \times 3} = \frac{3x + 4x + 4}{6}$

$\frac{3x + 4x + 4}{6} = \frac{7x + 4}{6}$

Isso significa que

$\frac{7x + 4}{6} = - 4 \\ 7x + 4 = - 4 \times 6 \\ 7x = - 24 - 4 \\ 7x = - 28 \\ x = - \frac{28}{7}$

Com isso teremos que

$x = - 4$