Question 677387
{{{r+5=2(5r-3)}}} Start with the given equation.



{{{r+5=10r-6}}} Distribute.



{{{r=10r-6-5}}} Subtract {{{5}}} from both sides.



{{{r-10r=-6-5}}} Subtract {{{10r}}} from both sides.



{{{-9r=-6-5}}} Combine like terms on the left side.



{{{-9r=-11}}} Combine like terms on the right side.



{{{r=(-11)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{r}}}.



{{{r=11/9}}} Reduce.



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Answer:


So the solution is {{{r=11/9}}}