Question

Construct an equation then solve it .

Add 2 to a number then multiply the result be 5 . If this is the same as dividing twice the number by 10

Answer 1

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

The required equation is:
`5*(x+2)=(2x)/(10)` and after solving we get

value of x to be
`x=-(25)/(12)`

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)=(2x)/(10)}\\`
`5*(x+2)=(2x)/(10)\\`

Now, we will solve the equation:

`5*(x+2)=(2x)/(10)\\\\5x+10=(x)/(5)`

Multiply both sides by 5

`5*(5x+10)=(5x)/(5)\\25x+50=x`

Subtracting 25x from both sides

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

Divide both sides by -24

`(50)/(-24)=(-24x)/(-24)\\x=(50)/(-24)\\x= - (25)/(12) \\`

So, value of x is
`x=-(25)/(12)`