find the number

Question

five times the sum of a number and three equals thirty-three less than the number

Answer 1

5(N+3) = N-33 <--- the given word problem

 

5N + 15  = N - 33  <---- distributive

 

5N + 15 - N = -33 <--- subtracts N from both sides

 

4N + 15 = -33 <--- combines like terms

 

4N = -33 - 15 <--- subtracts 15 from both sides

 

4N = -48 <-- solves for N

 

N=-12

 

CHECK

5(n+3) = 5(-12+3) = 5(-9) = -45 = -12+ -33 = -12 - 33  = N-33