\(\left|x+\frac{4}{15}\right|-\left|-3,75\right|=-\left|-2,15\right|\)
\(\Rightarrow\left|x+\frac{4}{15}\right|-3,75=-2,15\)
\(\Rightarrow\left|x+\frac{4}{15}\right|=-2,15+3,75\)
\(\Rightarrow\left|x+\frac{4}{15}\right|=1,6\)
\(\Rightarrow\left|x+\frac{4}{15}\right|=\frac{8}{5}\)
\(\Rightarrow\left[\begin{array}{nghiempt}x+\frac{4}{15}=\frac{8}{5}\\x+\frac{4}{15}=-\frac{8}{5}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=\frac{4}{3}\\x=-\frac{28}{15}\end{array}\right.\)
Ta có : \(\left|x+\frac{4}{15}\right|-\left|-3,75\right|=-\left|-2,15\right|\)
\(\Leftrightarrow\left|x+\frac{4}{15}\right|=3,75-2,15=\frac{8}{5}\)
\(\Rightarrow\left[\begin{array}{nghiempt}x+\frac{4}{15}=\frac{8}{5}\\-x-\frac{4}{15}=\frac{8}{5}\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=\frac{4}{3}\\x=-\frac{28}{15}\end{array}\right.\)
| x + 4/15 | - | - 3,75 | = - | - 2,15 |
\(\Rightarrow\)| x + 4/15 | - 3,75 = - 2,15 |
\(\Rightarrow\)| x + 4/15 | = 3,75 + (- 2,15)
\(\Rightarrow\)| x + 4/15 | =1,6
\(\Rightarrow\)x+4/15=1,6 hoặc x+4/15=-1,6
Ta xét các trường hợp
TH1: x+4/15=1,6\(\Rightarrow\)x=4/3
TH2:x+4/15=-1,6 \(\Rightarrow\)x=-28/15
Vậy x=4/3 hoặc -28/15
/ x + \(\frac{4}{15}\)/ - / - 3,75 / = -/-2,15/
= /x+ \(\frac{4}{15}\)/ - 3,75 = - 2,15
= / x + \(\frac{4}{15}\) / = -2,15 + 3,75
= /x + \(\frac{4}{15}\) / = 1,6
vì /x + \(\frac{4}{15}\)/ = 1.6
suy ra x+ \(\frac{4}{15}\)= 1,6 hoặc -1,6
vậy ta sẽ có hai trường hợp
TH1 : x+ \(\frac{4}{15}\) =1,6
x = 1,6 - \(\frac{4}{15}\) = 1,3
TH2 : x + \(\frac{4}{15}\) = -1,6
x = -1,6 - \(\frac{4}{15}\)= -1,86
vậy x thuộc 1,3 hoặc - 1, 86
chúc bạn học tốt 
