SOLUTION: Write an algebraic expression and solve the equation for: Eight less than four times a number is the same as eight times the sum of the number and two. What is the number?

Algebra ->  Equations -> SOLUTION: Write an algebraic expression and solve the equation for: Eight less than four times a number is the same as eight times the sum of the number and two. What is the number?      Log On


   

Question 318636: Write an algebraic expression and solve the equation for: Eight less than four times a number is the same as eight times the sum of the number and two. What is the number?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Eight less than four times a number is the same as eight times the sum of the number and two" means that 4x-8=8%28x%2B2%29


4x-8=8%28x%2B2%29 Start with the given equation.


4x-8=8x%2B16 Distribute.


4x=8x%2B16%2B8 Add 8 to both sides.


4x-8x=16%2B8 Subtract 8x from both sides.


-4x=16%2B8 Combine like terms on the left side.


-4x=24 Combine like terms on the right side.


x=%2824%29%2F%28-4%29 Divide both sides by -4 to isolate x.


x=-6 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=-6