Răspuns: x = 9
Explicație pas cu pas:
[tex]\bf \{120-2\cdot[14+5\cdot(x-3)]\}:4=8~~~\bigg|\cdot4[/tex]
[tex]\bf 120-2\cdot[14+5\cdot(x-3)]=8\cdot4[/tex]
[tex]\bf 120-2\cdot[14+5\cdot(x-3)]=32[/tex]
[tex]\bf 120-32 = 2\cdot[14+5\cdot(x-3)][/tex]
[tex]\bf 88 = 2\cdot[14+5\cdot(x-3)]~~~\bigg|:2[/tex]
[tex]\bf 14+5\cdot(x-3) = 44[/tex]
[tex]\bf 14+5\cdot(x-3) = 44-14[/tex]
[tex]\bf 5\cdot(x-3) = 30~~~\bigg|:5[/tex]
[tex]\bf x-3 = 6[/tex]
[tex]\bf x = 6+3[/tex]
[tex]\red{\boxed{~\bf x=9~}}[/tex]
[tex]\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[/tex]
