Question

Construct an equation then solve it .

Answer 1

Step-by-step explanation:

5(2+x)=2x/10

mutiply both sides by 10

10×5(2+x)=10×(2x/10)

50(2+x)=2x

100+50x=2x

50x- 2x=-100

48x= -100

x=-100/48

x=-2.083

Answer 2

Answer:

The required equation is: $5*(x+2)=\frac{2x}{10}$ and after solving we get

value of x to be $x=-\frac{25}{12}$

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: $\textbf {5*(2x)=\frac{2x}{10}}$$5*(x+2)=\frac{2x}{10}$

Now, we will solve the equation:

$5*(x+2)=\frac{2x}{10}\\\\5x+10=\frac{x}{5}$

Multiply both sides by 5

$5*(5x+10)=\frac{5x}{5}\\25x+50=x$

Subtracting 25x from both sides

$25x+50-25x=x-25x\\50=-24x$

Divide both sides by -24

$\frac{50}{-24}=\frac{-24x}{-24}\\x=\frac{50}{-24}\\x= - \frac{25}{12}$

So, value of x is $x=-\frac{25}{12}$