Question

Eight less than five times a number is four more than eight times the number. Find the number.

Answer 1

n = -4

Explanation:

let the number = n

eight less than = .... minus 8

five times a number =n * 5

eight less than five times n = n * 5 minus 8 = n*5 -8

is means equal to

four more than = .... plus 4

eight times the number = n* 8

four more than eight times the number = n*8+4

n*5-8 is n*8 +4

n*5-8=8n+4

subtract 5n from both sides to put all variables and coefficients on one side

-8 = 3n + 4

subtract 4 from both sides to isolate the variable and coefficient

-12 = 3n

divide both sides by 3 to get n

n = -4