Answer:
1. x=90
2. x=-5
Explanation:
Part 1
Given the equation
[tex]5(x-10)=400[/tex]First, we divide both sides of the equation by 5.
[tex]\begin{gathered} \frac{5(x-10)}{5}=\frac{400}{5} \\ x-10=80 \end{gathered}[/tex]Next, we add 10 to both sides.
[tex]\begin{gathered} x-10+10=80+10 \\ x=90 \end{gathered}[/tex]Part 2
Given the equation
[tex]10(10+x)=50[/tex]First, we divide both sides of the equation by 10.
[tex]\begin{gathered} \frac{10(10+x)}{10}=\frac{50}{10} \\ 10+x=5 \end{gathered}[/tex]Next, we subtract 10 from both sides.
[tex]\begin{gathered} 10-10+x=5-10 \\ x=-5 \end{gathered}[/tex]