Question 336494

{{{8x+3(2-x)=5x+6}}} Start with the given equation.



{{{8x+6-3x=5x+6}}} Distribute.



{{{5x+6=5x+6}}} Combine like terms on the left side.



{{{5x=5x+6-6}}} Subtract {{{6}}} from both sides.



{{{5x-5x=6-6}}} Subtract {{{5x}}} from both sides.



{{{0x=6-6}}} Combine like terms on the left side.



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



{{{0=0}}} Simplify.



Since this equation is <u><font size=4><b>always</b></font></u> true for any x value, this means x can equal any number. 



So there are an infinite number of solutions.



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Jim