Question 206626
# 1



I'm assuming that the equation is {{{(5/8)x+(1/16)x=5/16+x}}} right? If so, then...



{{{(5/8)x+(1/16)x=5/16+x}}} Start with the given equation.



{{{16((5/cross(8))x+(1/cross(16))x)=16(5/cross(16)+x)}}} Multiply both sides by the LCD {{{16}}} to clear any fractions.



{{{10x+x=5+16x}}} Distribute and multiply.



{{{11x=5+16x}}} Combine like terms on the left side.



{{{11x-16x=5}}} Subtract {{{16x}}} from both sides.



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



{{{x=(5)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{x}}}.



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



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Answer:


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




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# 2





{{{3(w-5)=6}}} Start with the given equation.



{{{3w-15=6}}} Distribute.



{{{3w=6+15}}} Add {{{15}}} to both sides.



{{{3w=21}}} Combine like terms on the right side.



{{{w=(21)/(3)}}} Divide both sides by {{{3}}} to isolate {{{w}}}.



{{{w=7}}} Reduce.



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Answer:


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



So you are correct. Good Job.



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# 3



{{{11x=-99}}} Start with the given equation.



{{{x=(-99)/(11)}}} Divide both sides by {{{11}}} to isolate {{{x}}}.



{{{x=-9}}} Reduce.



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Answer:


So the solution is {{{x=-9}}}



Once again, you're correct. Congrats.