Question 222691
# 1




{{{r-2+3r=6+5r}}} Start with the given equation.



{{{4r-2=6+5r}}} Combine like terms on the left side.



{{{4r=6+5r+2}}} Add {{{2}}} to both sides.



{{{4r-5r=6+2}}} Subtract {{{5r}}} from both sides.



{{{-r=6+2}}} Combine like terms on the left side.



{{{-r=8}}} Combine like terms on the right side.



{{{r=(8)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{r}}}.



{{{r=-8}}} Reduce.



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Answer:


So the solution is {{{r=-8}}} 


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# 2




{{{3x+x-2=x+7}}} Start with the given equation.



{{{4x-2=x+7}}} Combine like terms on the left side.



{{{4x=x+7+2}}} Add {{{2}}} to both sides.



{{{4x-x=7+2}}} Subtract {{{x}}} from both sides.



{{{3x=7+2}}} Combine like terms on the left side.



{{{3x=9}}} Combine like terms on the right side.



{{{x=(9)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=3}}} Reduce.



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Answer:


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