Question 573803
Let's let X be the number we're looking for.


The problem says if we take twice the number increased by 7 or ... 
2X + 7
it should equal four times the number decreased by 3 ... 
4X - 3


Let's find it!


2X + 7 = 4X - 3
Subtract 2X from each side:
7 = 2X - 3
Add 3 to each side:
10 = 2X
Divide both sides by 2
5 = X


Checking:
2(5) + 7 = 4(5) - 3?
10 + 7 = 20 - 3?
17 = 17  Correct!