Question

determinati numarul naturla n daca
(120 - 2(14+5(x-3))):4=8

Answer 1

Răspuns: x = 9

Explicație pas cu pas:

$\bf \{120-2\cdot[14+5\cdot(x-3)]\}:4=8~~~\bigg|\cdot4$

$\bf 120-2\cdot[14+5\cdot(x-3)]=8\cdot4$

$\bf 120-2\cdot[14+5\cdot(x-3)]=32$

$\bf 120-32 = 2\cdot[14+5\cdot(x-3)]$

$\bf 88 = 2\cdot[14+5\cdot(x-3)]~~~\bigg|:2$

$\bf 14+5\cdot(x-3) = 44$

$\bf 14+5\cdot(x-3) = 44-14$

$\bf 5\cdot(x-3) = 30~~~\bigg|:5$

$\bf x-3 = 6$

$\bf x = 6+3$

$\red{\boxed{~\bf x=9~}}$

Answer 2

$\it\ \{120-2\[[14+5(x-3)]\}:4=8|_{\cdot4} \Rightarrow 120-2\[[14+5(x-3)]=32 \Rightarrow\\ \\ \Rightarrow 2\[[14+5(x-3)]=120-32 \Rightarrow 2\[[14+5(x-3)]=88|_{:2} \Rightarrow\\ \\ \Rightarrow 14+5(x-3)=44|_{-14} \Rightarrow 5(x-3)=30|_{:5} \Rightarrow x-3=6 \Rightarrow x=9$