a) x=-213:(1+2+3+4+...+100)<=>x=-213/100

b) x-x=-1/3-2/4 <=> 0= -5/6 (vô lý )

c) x=-0,8119408369

d) x= 0.0258907758

help me 

x+(x+1)+(x+2)+...+1008=2008

a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)

\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)

\(\Rightarrow x=\dfrac{5}{6}-\dfrac{5}{4}\)

\(\Rightarrow x=\dfrac{-5}{12}\)

b) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\dfrac{-1}{3}\)

\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)

\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)

\(\Rightarrow x=\dfrac{2}{5}\)

c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)

\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-77}{120}\)

d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)

\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)

\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)

\(\Rightarrow x=\dfrac{-7}{20}\)

e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)

\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-59}{105}\)

g) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)

\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{-13}{12}\)

\(a)\)\(\left[\left(8.x-12\right)\div4\right].3^3=3^6\)

\(\left[\left(8.x-12\right)\div4\right]=3^6\div3^3\)

\(\left[\left(8.x-12\right)\div4\right]=3^3\)

\(\left(8.x-12\right)\div4=27\)

\(\left(8.x-12\right)=27.4\)

\(8.x-12=108\)

\(8.x=108+12\)

\(8.x=120\)

\(x=120\div8\)

\(x=15\)

\(b)\)\(3^{2.x-4}-x^0=8\)

\(3^{2.x-4}-1=8\)

\(3^{2.x-4}=8+1\)

\(3^{2.x-4}=9\)

\(3^{2.x-4}=3^2\)

\(2.x-4=2\)

\(2.x=2+4\)

\(2.x=6\)

\(x=3\)

`7xx8xx12/6xx21xx16`

`=7xx8xx2xxx21xx16`

`=56xx2xx21xx16`

`=112xx21xx16`

`=2352xx16`

`=37632`

\(\dfrac{7\times8\times12}{6\times21\times16}=\dfrac{7\times8\times3\times2\times2}{2\times3\times3\times7\times8\times2}=\dfrac{1}{3}\)

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