Question

Two times the sum of a number and two is the same as five less than five times the number. what is the number?

Answer 1

the number is 3

Explanation:

let number = x

according to the given conditions:

2(x + 2) = 5x - 5

2x + 4 = 5x - 5

2x - 5x = -5 - 4

-3x = -9

x = 9/3 = 3

thus, the required number is, x = 3

Answer 2

Explanation:

This question is quite easy to solve, once you set up the right equation. By setting up this equation we get:

2(x+2)=5x-5

Now, all we have to do is solve it with simple algebra :)

Distribute: 2x+4=5x-5

Subtract 2x from both sides, this will cancel out the 2x: 4=3x-5

Add +5 to both sides, this will also cancel out 5: 9=3x

Divide 3 on both sides: 9/3=3x/3

This will eventually simplify evenly to: 3=x or x=3

In conclusion, the number is 3!

I hope that helped! :)