Answer:
x=8
Step-by-step explanation:
Four less than the difference between a number and seven is seven
let's go by parts
Four less
that means if we have a number [tex]y[/tex] we subtract 4
so we can write
[tex]y-4[/tex]
the difference between a number and seven remember this is [tex]y[/tex]
let's say x is "a number"
so we can rewrite it as
the difference between x and seven
and that means
[tex]x-7[/tex]
so we have
[tex]y=x-7[/tex]
put all together and we have
[tex]y-4\\\\=(x-7)-4\\\\=-4+x-7[/tex]
and the final part
is seven
this means that the equation upward is equal to seven
=7
so we have our equation
[tex]-4+x-7=7[/tex]
[tex]x+(-4-7)=7\\\\x-11=7\\\\x-11+11=7+11\\\\x+0=18\\\\x=18[/tex]
so there it is our number is 8
