SOLUTION: Solve for x -8x+14=-2(4x-7)

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Question 149664: Solve for x
-8x+14=-2(4x-7)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-8x%2B14=-2%284x-7%29 Start with the given equation.


-8x%2B14=-8x%2B14 Distribute.


-8x=-8x%2B14-14 Subtract 14 from both sides.


-8x%2B8x=14-14 Add 8x to both sides.


0x=14-14 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.