Question 586032
{{{2x-7.6-8.8x=-6.8x-7.6}}} Start with the given equation.



{{{10(2x-7.6-8.8x)=10(-6.8x-7.6)}}} Multiply both sides by 10 to clear out the decimals.



{{{20x-76-88x=-68x-76}}} Distribute and multiply.



{{{-68x-76=-68x-76}}} Combine like terms on the left side.



{{{-68x=-68x-76+76}}} Add {{{76}}} to both sides.



{{{-68x+68x=-76+76}}} Add {{{68x}}} to both sides.



{{{0x=-76+76}}} Combine like terms on the left side.



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



{{{0=0}}} Simplify.



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



So there are an infinite number of solutions.

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