Question 791243
A)

{{{3x+5=6x-4}}} Start with the given equation.



{{{3x=6x-4-5}}} Subtract {{{5}}} from both sides.



{{{3x-6x=-4-5}}} Subtract {{{6x}}} from both sides.



{{{-3x=-4-5}}} 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.



--------


Answer:


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



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


B)


{{{2(x+3)-4=x+1}}} Start with the given equation.



{{{2x+6-4=x+1}}} Distribute.



{{{2x+2=x+1}}} Combine like terms on the left side.



{{{2x=x+1-2}}} Subtract {{{2}}} from both sides.



{{{2x-x=1-2}}} Subtract {{{x}}} from both sides.



{{{x=1-2}}} Combine like terms on the left side.



{{{x=-1}}} Combine like terms on the right side.



----------


Answer:


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



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


C)


{{{3x-(2x+1)=6}}} Start with the given equation.



{{{3x-2x-1=6}}} Distribute.



{{{x-1=6}}} Combine like terms on the left side.



{{{x=6+1}}} Add {{{1}}} to both sides.



{{{x=7}}} Combine like terms on the right side.



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


Answer:


So the solution is {{{x=7}}}