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a, 3 ( x+2 ) + 2 ( x-3 ) =10
3x + 6 + 2x - 6 = 10
5x = 10
x = 10 : 5
x = 2
b, 720 : ( 41 - ( 2x-5 )) = 40
720 : ( 41-2x + 5) = 40
720 : ( 46 - 2x ) = 40
46 - 2x = 720 : 40
46 - 2x = 18
2x = 46 - 18
2x = 28
x= 28 : 2
x = 14
2.
\(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{2}{x\cdot\left(x+1\right)}=\dfrac{2016}{2017}\\ \dfrac{2}{6}+\dfrac{2}{12}+\dfrac{2}{20}+...+\dfrac{2}{x\cdot\left(x+1\right)}=\dfrac{2016}{2017}\\ 2\cdot\left(\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{x\cdot\left(x+1\right)}\right)=\dfrac{2016}{2017}\\ 2\cdot\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{x}-\dfrac{1}{\left(x+1\right)}\right)=\dfrac{2016}{2017}\\ 2\cdot\left(\dfrac{1}{2}-\dfrac{1}{\left(x+1\right)}\right)=\dfrac{2016}{2017}\\ \dfrac{1}{2}-\dfrac{1}{\left(x+1\right)}=\dfrac{2016}{2017}:2\\ \dfrac{1}{2}-\dfrac{1}{\left(x+1\right)}=\dfrac{1008}{2017}\\ \dfrac{1}{\left(x+1\right)}=\dfrac{1}{2}-\dfrac{1008}{2017}\\ \dfrac{1}{\left(x+1\right)}=\dfrac{1}{4034}\\ \Rightarrow x+1=4034\Rightarrow x=4033\)
\(a;-\frac{3}{9}+\frac{7}{15}=-x+\left(-\frac{5}{18}\right)\)
\(\Rightarrow\frac{2}{15}=-x-\frac{5}{18}\)
\(\Rightarrow-x=\frac{2}{15}+\frac{5}{18}=\frac{37}{90}\)
\(b;2x-\frac{3}{4}=x-\frac{1}{2}\)
\(\Rightarrow2x-x=-\frac{1}{2}+\frac{3}{4}\)
\(\Rightarrow x=\frac{1}{4}\)
a)-3/9+7/15=-x+(-5/18) b)2x-3/4= x-1/2
=>-x+(-7/15)=2/15 =>2x-x=3/4-1/2
=>-x=2/15-(-7/15) =>x=1/4
=>-x=3/5
=>x=+3/5