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a. 2(x-1) + (x+2) - (x+3) = 15 - (x+1)
=>2x-2+x+2-x-3=15-x-1
=>(2x+x-x)-2+2-3=15-1-x
=>2x-3=14-x
=>3x=17
=>x=17/3
b. x+1/15 + x+2/14 = x+4/12 + x+5/11
\(\Rightarrow\frac{x+1}{15}+1+\frac{x+2}{14}+1=\frac{x+4}{12}+1+\frac{x+5}{11}+1\)
\(\Rightarrow\frac{x+16}{15}+\frac{x+16}{14}=\frac{x+16}{12}+\frac{x+16}{11}\)
\(\Rightarrow\frac{x+16}{15}+\frac{x+16}{14}-\frac{x+16}{12}-\frac{x+16}{11}=0\)
\(\Rightarrow\left(x+16\right)\left(\frac{1}{15}+\frac{1}{14}-\frac{1}{12}-\frac{1}{11}\right)=0\)
\(\Rightarrow x+16=0\).Do \(\frac{1}{15}+\frac{1}{14}-\frac{1}{12}-\frac{1}{11}\ne0\)
=>x=-16
Tìm x . biết :
\(a,\frac{2}{5}:\left(-x-\frac{1}{2}\right)=\frac{4}{5}\)
\(\Rightarrow-x-\frac{1}{2}=\frac{2}{5}:\frac{4}{5}\)
\(\Rightarrow-x-\frac{1}{2}=\frac{2}{5}.\frac{5}{4}\)
\(\Rightarrow-x-\frac{1}{2}=\frac{1}{2}\)
\(\Rightarrow-x=\frac{1}{2}+\frac{1}{2}\)
\(\Rightarrow-x=1\)
\(\Rightarrow x=-1\)
Vậy \(x=-1\)
a. \(\frac{2}{5}.\left(-x-\frac{1}{2}\right)=\frac{4}{5}\)
\(\Rightarrow-x-\frac{1}{2}=\frac{2}{5}:\frac{4}{5}\)
\(\Rightarrow-x-\frac{1}{2}=\frac{2}{5}.\frac{5}{4}\)
\(\Rightarrow-x-\frac{1}{2}=\frac{1}{2}\)
\(\Rightarrow-x=\frac{1}{2}+\frac{1}{2}\)
\(\Rightarrow-x=1\)
\(\Rightarrow x=-1\)
a,\(\frac{11}{12}-\left(\frac{5}{42}-x\right)=\frac{15}{28}-\frac{11}{12}\)
\(\Leftrightarrow\frac{11}{12}-\frac{5}{42}+x=\frac{15}{28}-\frac{11}{12}\)
\(\Leftrightarrow x=\frac{15}{28}-\frac{11}{12}-\frac{11}{12}+\frac{5}{42}\)
\(\Leftrightarrow x=\left(\frac{15}{28}+\frac{5}{42}\right)-\left(\frac{11}{12}+\frac{11}{12}\right)\)
\(\Leftrightarrow x=\frac{55}{84}-\frac{11}{6}\)
\(\Leftrightarrow x=\frac{-33}{28}\)
b, \(\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}=\frac{x+1}{13}+\frac{x+1}{14}\)
\(\Leftrightarrow\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}-\frac{x+1}{13}-\frac{x+1}{14}=0\)
\(\Leftrightarrow\left(x+1\right)\left(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}-\frac{1}{14}\right)=0\)
\(\Leftrightarrow x+1=0\)
\(\Leftrightarrow x=-1\)
Noob ơi, bạn phải đưa vào máy tính ý solve cái là ra x luôn, chỉ tội là đợi hơi lâu
a, 4.(18 - 5x) - 12(3x - 7) = 15(2x - 16) - 6(x + 14)
=> 72 - 20x - 36x + 84 = 30x - 240 - 6x - 84
=> (72 + 84) + (-20x - 36x) = (30x - 6x) + (-240 - 84)
=> 156 - 56x = 24x - 324
=> 24x + 56x = 324 + 156
=> 80x = 480
=> x = 480 : 80 = 6
Vậy x = 6
` 1, 5 . ( -2/25 = 3/2 . (-2)/25 = -6/50 = -3/25 `
` 1 3/5 . (-3)/4 = 8/5 . (-3)/4 = -24/20 = -6/5 `
`-15/4 : 21/(-1) = -15/4 . (-1)/21 = 15/84 = 5/28 `
` ( -2 1/7 ) : ( -1 1/14 ) = (-15)/7 : (-15)/14 = -15/7 . (-14)/15 = 210/105 = 2 `
`@animephamdanhv.`
\(\frac{x+1}{15}+\frac{x+2}{14}=\frac{x+5}{11}+\frac{x+4}{12}\)
\(\Leftrightarrow\frac{x+1}{15}+\frac{x+2}{14}+2=\frac{x+5}{11}+\frac{x+4}{12}+2\)
\(\Leftrightarrow\left(\frac{x+1}{15}+1\right)+\left(\frac{x+2}{14}+1\right)=\left(\frac{x+5}{11}+1\right)+\left(\frac{x+4}{12}+1\right)\)
\(\Leftrightarrow\frac{x+1+15}{15}+\frac{x+2+14}{14}=\frac{x+5+11}{11}+\frac{x+4+12}{12}\)
\(\Leftrightarrow\frac{x+16}{15}+\frac{x+16}{14}=\frac{x+16}{11}+\frac{x+16}{12}\)
\(\Leftrightarrow\frac{x+16}{15}+\frac{x+16}{14}-\frac{x+16}{11}-\frac{x+16}{12}=0\)
\(\Leftrightarrow\left(x+16\right)\left(\frac{1}{15}+\frac{1}{14}-\frac{1}{11}-\frac{1}{12}\right)=0\)
\(\Leftrightarrow x+16=0\)
\(\Leftrightarrow x=-16\)
\(\frac{x+1}{15}+\frac{x+2}{14}=\frac{x+5}{11}+\frac{x+4}{12}\)
=>\(\frac{x+1}{15}+1+\frac{x+2}{14}+1=\frac{x+5}{11}+1+\frac{x+4}{12}+1\)
=>\(\frac{x+1}{15}+\frac{15}{15}+\frac{x+2}{14}+\frac{14}{14}=\frac{x+5}{11}+\frac{11}{11}+\frac{x+4}{12}+\frac{12}{12}\)
=>\(\frac{x+1+15}{15}+\frac{x+2+14}{14}=\frac{x+5+11}{11}+\frac{x+4+12}{12}\)
=>\(\frac{x+16}{15}+\frac{x+16}{14}=\frac{x+16}{11}+\frac{x+16}{12}\)
=>\(\frac{x+16}{15}+\frac{x+16}{14}-\frac{x+16}{11}-\frac{x+16}{12}\)=0
=>\(\left(x+16\right).\left(\frac{1}{15}+\frac{1}{14}-\frac{1}{11}-\frac{1}{12}\right)=0\)
Mà \(\frac{1}{15}+\frac{1}{14}-\frac{1}{11}-\frac{1}{12}\ne0\)
=>x+16=0
=>x =0-16
=>x =-16
Vậy x=-16
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