Question 228293
I'll do the first two to get you started.


# 1




{{{5x-3+2x=3+x-12}}} Start with the given equation.



{{{7x-3=3+x-12}}} Combine like terms on the left side.



{{{7x-3=x-9}}} Combine like terms on the right side.



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



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



{{{6x=-9+3}}} Combine like terms on the left side.



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



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



{{{x=-1}}} Reduce.



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Answer:


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



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# 2




{{{5y+8+3y+5=6y-3}}} Start with the given equation.



{{{8y+13=6y-3}}} Combine like terms on the left side.



{{{8y=6y-3-13}}} Subtract {{{13}}} from both sides.



{{{8y-6y=-3-13}}} Subtract {{{6y}}} from both sides.



{{{2y=-3-13}}} Combine like terms on the left side.



{{{2y=-16}}} Combine like terms on the right side.



{{{y=(-16)/(2)}}} Divide both sides by {{{2}}} to isolate {{{y}}}.



{{{y=-8}}} Reduce.



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Answer:


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