SOLUTION: Do you know how to solve 2(3x-6)=3(2x-4). Thank you.

Algebra ->  Equations -> SOLUTION: Do you know how to solve 2(3x-6)=3(2x-4). Thank you.      Log On


   

Question 669632: Do you know how to solve 2(3x-6)=3(2x-4). Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%283x-6%29=3%282x-4%29 Start with the given equation.


6x-12=6x-12 Distribute.


6x=6x-12%2B12 Add 12 to both sides.


6x-6x=-12%2B12 Subtract 6x from both sides.


0x=-12%2B12 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.