ten less than twice a number is the same as 7 times the number. find the number

Question

ten less than twice a number is the same as 7 times the number. find the number
 

Answer 1

Let x represent number

 10 less 2ce a number means multiplying that number by 2 and then subtracting 10 so it can be represented:

2x-10

seven times the number is 7x

so...

2x-10=7x

now bring like terms together...

  2x-10=7x

-2x     =-2x

========

    -10=5x....now divide both sides by 5 to find x

-10/5=5x/5

-2=x

the number is -2

 

to check, substitute x as -2

2(-2)-10=7(-2)

-4-10=-14

-14=-14...yes