Hey there!!
Let's take the number as ' x '
Three times the difference of a number and 5 :
Difference of a number and 5 : x - 5
Three times : 3 ( x - 5 )
This is same as :
1 increased by 5 times the number plus twice the number :
5 times a number : 5x
2 times number a number : 2x
Added : 7x
1 plus the sum : 1 + 7x
Now,
The equation :
[tex]3 ( x - 5 ) = 1 + 7x[/tex]
[tex]3x - 15 = 1 + 7x[/tex]
[tex]4x = -16[/tex]
[tex]x = \frac{-16}{4}[/tex]
[tex]x = -4[/tex]
Hence, the number is -4
Hope my answer helps!
