Question 580719
# 1

{{{5x-3=9x-7}}} Start with the given equation.



{{{5x=9x-7+3}}} Add {{{3}}} to both sides.



{{{5x-9x=-7+3}}} Subtract {{{9x}}} from both sides.



{{{-4x=-7+3}}} Combine like terms on the left side.



{{{-4x=-4}}} Combine like terms on the right side.



{{{x=(-4)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}.



{{{x=1}}} Reduce.



----------------------------------


Answer:


So the solution is {{{x=1}}} 


=======================================================

# 2


{{{9n-15=3(2n-1)}}} Start with the given equation.



{{{9n-15=6n-3}}} Distribute.



{{{9n=6n-3+15}}} Add {{{15}}} to both sides.



{{{9n-6n=-3+15}}} Subtract {{{6n}}} from both sides.



{{{3n=-3+15}}} Combine like terms on the left side.



{{{3n=12}}} Combine like terms on the right side.



{{{n=(12)/(3)}}} Divide both sides by {{{3}}} to isolate {{{n}}}.



{{{n=4}}} Reduce.



----------------------------------


Answer:


So the solution is {{{n=4}}} 


=======================================================

# 3


{{{2(3b+5)-1=10b+1}}} Start with the given equation.



{{{6b+10-1=10b+1}}} Distribute.



{{{6b+9=10b+1}}} Combine like terms on the left side.



{{{6b=10b+1-9}}} Subtract {{{9}}} from both sides.



{{{6b-10b=1-9}}} Subtract {{{10b}}} from both sides.



{{{-4b=1-9}}} Combine like terms on the left side.



{{{-4b=-8}}} Combine like terms on the right side.



{{{b=(-8)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{b}}}.



{{{b=2}}} Reduce.



------------------------------------

Answer:


So the solution is {{{b=2}}}