Question 264545
{{{(2x-9)/5+3=2x}}} Start with the given equation.



{{{2x-9+15=10x}}} Multiply every term by the LCD 5 to clear out the fraction.



{{{2x+6=10x}}} Combine like terms on the left side.



{{{2x=10x-6}}} Subtract {{{6}}} from both sides.



{{{2x-10x=-6}}} Subtract {{{10x}}} from both sides.



{{{-8x=-6}}} Combine like terms on the left side.



{{{x=(-6)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{x}}}.



{{{x=3/4}}} Reduce.



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Answer:


So the solution is {{{x=3/4}}}