SOLUTION: please help me solve this equation: 3(x+1)-5 > 5(x+4)

Algebra ->  Exponents -> SOLUTION: please help me solve this equation: 3(x+1)-5 > 5(x+4)       Log On


   



Question 620675: please help me solve this equation:
3(x+1)-5 > 5(x+4)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%28x%2B1%29-5%3E5%28x%2B4%29 Start with the given inequality.


3x%2B3-5%3E5x%2B20 Distribute.


3x-2%3E5x%2B20 Combine like terms on the left side.


3x%3E5x%2B20%2B2 Add 2 to both sides.


3x-5x%3E20%2B2 Subtract 5x from both sides.


-2x%3E20%2B2 Combine like terms on the left side.


-2x%3E22 Combine like terms on the right side.


x%3C%2822%29%2F%28-2%29 Divide both sides by -2 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C-11 Reduce.


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

Answer:

So the solution is x%3C-11