Answer:
The required equation is: [tex]5*(x+2)=\frac{2x}{10}[/tex] and after solving we get
value of x to be [tex]x=-\frac{25}{12}[/tex]
Step-by-step explanation:
We need to construct an equation and then solve the equation.
Let the number be x.
Mathematical form of Add 2 to a number then multiply the result be 5 will be:
5*(x+2)
Mathematical form of dividing twice the number by 10: 2x/10
Final equation will be: [tex]\textbf {5*(2x)=\frac{2x}{10}}\\[/tex][tex]5*(x+2)=\frac{2x}{10}\\[/tex]
Now, we will solve the equation:
[tex]5*(x+2)=\frac{2x}{10}\\\\5x+10=\frac{x}{5}[/tex]
Multiply both sides by 5
[tex]5*(5x+10)=\frac{5x}{5}\\25x+50=x[/tex]
Subtracting 25x from both sides
[tex]25x+50-25x=x-25x\\50=-24x\\[/tex]
Divide both sides by -24
[tex]\frac{50}{-24}=\frac{-24x}{-24}\\x=\frac{50}{-24}\\x= - \frac{25}{12} \\[/tex]
So, value of x is [tex]x=-\frac{25}{12}[/tex]
