Math  /  Algebra

QuestionSolve. 5r+1015=2r82\frac{5 r+10}{15}=\frac{2 r-8}{2}
The solution is r=\mathrm{r}= \square (Simplify your answer.)

Studdy Solution
Check the solution by substituting r=7 r = 7 back into the original equation:
Left side: 5(7)+1015=35+1015=4515=3 \frac{5(7) + 10}{15} = \frac{35 + 10}{15} = \frac{45}{15} = 3
Right side: 2(7)82=1482=62=3 \frac{2(7) - 8}{2} = \frac{14 - 8}{2} = \frac{6}{2} = 3
Both sides are equal, confirming that the solution is correct.
The solution is: r=7 \mathrm{r} = \boxed{7}

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