Question 374503
3)


{{{3x-1-x=3x+5}}} Start with the given equation.



{{{2x-1=3x+5}}} Combine like terms on the left side.



{{{2x=3x+5+1}}} Add {{{1}}} to both sides.



{{{2x-3x=5+1}}} Subtract {{{3x}}} from both sides.



{{{-x=5+1}}} Combine like terms on the left side.



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



{{{x=(6)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=-6}}} Reduce.



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Answer:


So the solution is {{{x=-6}}} 


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# 4



{{{-4(x+7)=-16}}} Start with the given equation.



{{{-4x-28=-16}}} Distribute.



{{{-4x=-16+28}}} Add {{{28}}} to both sides.



{{{-4x=12}}} Combine like terms on the right side.



{{{x=(12)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}.



{{{x=-3}}} Reduce.



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Answer:


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


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# 6


{{{5(x+3)=7(x-5)}}} Start with the given equation.



{{{5x+15=7x-35}}} Distribute.



{{{5x=7x-35-15}}} Subtract {{{15}}} from both sides.



{{{5x-7x=-35-15}}} Subtract {{{7x}}} from both sides.



{{{-2x=-35-15}}} Combine like terms on the left side.



{{{-2x=-50}}} Combine like terms on the right side.



{{{x=(-50)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=25}}} Reduce.



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Answer:


So the solution is {{{x=25}}} 



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