\(\dfrac{-12}{13}x-5=6\dfrac1{13} \\\Leftrightarrow \dfrac{-12}{13}x=6\dfrac1{13}+5 \\\Leftrightarrow \dfrac{-12}{13}x=\dfrac{144}{13} \\\Leftrightarrow x=\dfrac{144}{13}:\dfrac{-12}{13} \\\Leftrightarrow x=-12\)

6x1/13+5:-12/13=x

-71/12=x

- 1/13x - 5 = 6 + 1/13 

x = - 1/12

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\(A=\left(\dfrac{2x+1}{2\left(x+2\right)}-\dfrac{x}{3\left(x-2\right)}-\dfrac{2x^2}{3\left(x-2\right)\left(x+2\right)}\right)\cdot\dfrac{24-12x}{13x+6}\)

\(=\dfrac{3\left(2x+1\right)\left(x-2\right)-2x\left(x+2\right)-4x^2}{6\left(x-2\right)\left(x+2\right)}\cdot\dfrac{12\left(2-x\right)}{13x+6}\)

\(=\dfrac{3\left(2x^2-3x-2\right)-2x^2-4x-4x^2}{x+2}\cdot\dfrac{-2}{13x+6}\)

\(=\dfrac{6x^2-9x-6-6x^2-4x}{x+2}\cdot\dfrac{-2}{13x+6}=\dfrac{2}{x+2}\)

a: \(=\dfrac{-6}{11}:\dfrac{3\cdot11}{4\cdot5}=\dfrac{-6}{11}\cdot\dfrac{20}{33}=\dfrac{-2}{11}\cdot\dfrac{20}{11}=\dfrac{-40}{121}\)

b: \(=\dfrac{7}{12}+\dfrac{5}{72}-\dfrac{11}{36}=\dfrac{42}{72}+\dfrac{5}{72}-\dfrac{22}{72}=\dfrac{25}{72}\)

c: \(=\dfrac{13}{10}:\dfrac{-5}{13}=\dfrac{-169}{50}\)

\(\dfrac{15}{12}+\dfrac{5}{13}-\dfrac{3}{12}-\dfrac{18}{13}-\dfrac{1}{3}\)

\(=\left(\dfrac{15}{12}-\dfrac{3}{12}\right)+\left(\dfrac{5}{13}-\dfrac{18}{13}\right)-\dfrac{1}{3}\)

\(=-1+1-\dfrac{1}{3}\)

\(=0-\dfrac{1}{3}\)

\(=\dfrac{-1}{3}\)

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\(14.\dfrac{3}{2}+\dfrac{6}{5}:\left(-\dfrac{2}{5}\right)\)

\(=14.\dfrac{3}{2}+\dfrac{6}{5}.\dfrac{-5}{2}\)

\(=21+\dfrac{6}{5}.\dfrac{-5}{2}\)

\(=21+\left(-3\right)\)

\(=18\)

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\(\sqrt{\dfrac{1}{4}+\dfrac{2}{3}-\left(\dfrac{1}{3}\right)^2}\)

\(=\sqrt{\dfrac{1}{4}+\dfrac{2}{3}-\dfrac{1}{9}}\)

\(=\sqrt{\dfrac{3}{12}+\dfrac{8}{12}-\dfrac{1}{9}}\)

\(=\sqrt{\dfrac{11}{12}-\dfrac{1}{9}}\)

\(=\sqrt{\dfrac{99}{108}-\dfrac{12}{108}}\)

\(=\sqrt{\dfrac{29}{36}}\)

\(=\dfrac{\sqrt{29}}{6}\)

\(\dfrac{15}{12}+\dfrac{5}{13}-\dfrac{3}{12}-\dfrac{18}{13}-\dfrac{1}{3}\)
\(=\dfrac{5}{4}+\dfrac{5}{13}-\dfrac{1}{4}-\dfrac{18}{13}-\dfrac{1}{3}\)
\(=\left(\dfrac{5}{4}-\dfrac{1}{4}\right)+\left(\dfrac{5}{13}-\dfrac{18}{13}\right)-\dfrac{1}{3}\)
\(=1+\left(-1\right)-\dfrac{1}{3}=0-\dfrac{1}{3}=-\dfrac{1}{3}\)

a) \(x+\dfrac{1}{2}=2^5:2^3\)

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

\(\Rightarrow x+\dfrac{1}{2}=2^2\)

\(\Rightarrow x+\dfrac{1}{2}=4\)

\(\Rightarrow x=4-\dfrac{1}{2}\)

\(\Rightarrow x=\dfrac{7}{2}\)

Vậy \(x=\dfrac{7}{2}\)

b) \(\dfrac{2}{3}+\dfrac{5}{3}x=\dfrac{5}{7}\)

\(\Rightarrow\dfrac{5}{3}x=\dfrac{5}{7}-\dfrac{2}{3}\)

\(\Rightarrow\dfrac{5}{3}x=\dfrac{1}{21}\)

\(\Rightarrow x=\dfrac{1}{21}:\dfrac{5}{3}\)

\(\Rightarrow x=\dfrac{1}{21}.\dfrac{3}{5}\)

\(\Rightarrow x=\dfrac{1}{35}\)

Vậy \(x=\dfrac{1}{35}\)

c) \(\left|x+5\right|-6=9\)

\(\Leftrightarrow\left|x+5\right|=9+6\)

\(\Leftrightarrow\left|x+5\right|=15\)

Xét trường hợp 1: \(x+5=15\)

\(\Rightarrow x=15-5\)

\(\Rightarrow x=10\)

Xét trường hợp 2: \(x+5=-15\)

\(\Rightarrow x=-15-5\)

\(\Rightarrow x=-\left(15+5\right)\)

\(\Rightarrow x=-20\)

Vậy \(x=10\) hoặc \(x=-20\)

-12/13x-5=6 1/13

giúp mình giải bài này với

a: \(A=\dfrac{7}{12}+\dfrac{5}{72}-\dfrac{11}{36}=\dfrac{42}{72}+\dfrac{5}{72}-\dfrac{22}{72}=\dfrac{25}{72}\)

b: \(B=\dfrac{8+5}{10}:\dfrac{-5}{13}=\dfrac{13}{10}\cdot\dfrac{13}{-5}=-\dfrac{169}{100}\)

c: \(C=\left(\dfrac{88}{132}-\dfrac{33}{132}+\dfrac{60}{132}\right):\left(\dfrac{55}{132}+\dfrac{132}{132}-\dfrac{84}{132}\right)\)

\(=\dfrac{88-33+60}{55+132-84}=\dfrac{115}{103}\)