Question

what is the equation to seven less than the product of twice a number is greater than 5 more than the same number

Answer 1

seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)

2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12

Answer 2

Let the number be  x.

Seven less than the product of twice a number :  2x  -  7.
Greater than                                                                  >
5 more than the same number                            :    x + 5

The equation  is:                                            2x - 7   >  x + 5.

That's the answer. But let us just go ahead and solve it.

2x - 7  >  x + 5.
2x - x >  5 + 7       
x  >  12.