Answer:
x = -4.5
Step-by-step explanation:
Solving the equation :
[tex]\left\vert -4+\frac{5}{2} \right\vert -\left( -x\right) =-3[/tex]
[tex]\Longleftrightarrow \left\vert \frac{-8}{2} +\frac{5}{2} \right\vert +x =-3[/tex]
[tex]\Longleftrightarrow \left\vert \frac{-8+5}{2} \right\vert +x =-3[/tex]
[tex]\Longleftrightarrow \left\vert \frac{-3}{2} \right\vert +x =-3[/tex]
[tex]\Longleftrightarrow \frac{3}{2} +x =-3[/tex]
[tex]\Longleftrightarrow x =-3-\frac{3}{2}[/tex]
[tex]\Longleftrightarrow x =-\frac{6}{2} -\frac{3}{2}[/tex]
[tex]\Longleftrightarrow x = -(\frac{6}{2} +\frac{3}{2} )[/tex]
[tex]\Longleftrightarrow x =-\frac{9}{2}[/tex]
[tex]\Longleftrightarrow x =-4.5[/tex]
