Answer:
[tex]\textsf{Decimal}: \quad x=-3.24[/tex]
[tex]\textsf{Mixed number}: \quad x = -3 \frac{6}{25}[/tex]
Step-by-step explanation:
To solve:
[tex]-\dfrac{5}{9}x+3.2=5[/tex]
Subtract 3.2 from both sides:
[tex]\implies -\dfrac{5}{9}x+3.2-3.2=5-3.2[/tex]
[tex]\implies -\dfrac{5}{9}x=1.8[/tex]
Multiply both sides by 9:
[tex]\implies -\dfrac{5}{9}x\cdot 9=1.8 \cdot 9[/tex]
[tex]\implies -5x=16.2[/tex]
Divide both sides by -5:
[tex]\implies \dfrac{-5x}{-5}=\dfrac{16.2}{-5}[/tex]
[tex]\implies x=-3.24[/tex]
