SOLUTION: Solve the equation for x. -5(7x-5)+6=-35x+31

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Question 380392: Solve the equation for x.
-5(7x-5)+6=-35x+31
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-5%287x-5%29%2B6=-35x%2B31 Start with the given equation.


-35x%2B25%2B6=-35x%2B31 Distribute.


-35x%2B31=-35x%2B31 Combine like terms on the left side.


-35x=-35x%2B31-31 Subtract 31 from both sides.


-35x%2B35x=31-31 Add 35x to both sides.


0x=31-31 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.