SOLUTION: 10(x-4)+32=5(2x+1)-13

Algebra ->  Equations -> SOLUTION: 10(x-4)+32=5(2x+1)-13      Log On


   

Question 204407: 10(x-4)+32=5(2x+1)-13
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

10%28x-4%29%2B32=5%282x%2B1%29-13 Start with the given equation.


10x-40%2B32=10x%2B5-13 Distribute.


10x-8=10x%2B5-13 Combine like terms on the left side.


10x-8=10x-8 Combine like terms on the right side.


10x=10x-8%2B8 Add 8 to both sides.


10x-10x=-8%2B8 Subtract 10x from both sides.


0x=-8%2B8 Combine like terms on the left side.


0x=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is always true for any x value, this means x can equal any number.

So there are an infinite number of solutions.