SOLUTION: 5-1(8x-7)=2x +12-10x

Algebra ->  Absolute-value -> SOLUTION: 5-1(8x-7)=2x +12-10x       Log On


   



Question 682503: 5-1(8x-7)=2x +12-10x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5-1%288x-7%29=2x%2B12-10x Start with the given equation.


5-8x%2B7=2x%2B12-10x Distribute.


-8x%2B12=2x%2B12-10x Combine like terms on the left side.


-8x%2B12=-8x%2B12 Combine like terms on the right side.


-8x=-8x%2B12-12 Subtract 12 from both sides.


-8x%2B8x=12-12 Add 8x to both sides.


0x=12-12 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.