\(PT\Leftrightarrow5-6+x=12-8x\)

\(\Leftrightarrow9x=13\)

\(\Leftrightarrow x=\dfrac{13}{9}\)

Vậy: \(S=\left\{\dfrac{13}{9}\right\}\)

\(5-\left(6-x\right)=4\left(3-2x\right)\)

\(5-6+x=12-8x\)

\(-1+x=12-8x\)

\(x-1=12-8x\)

\(12+1=8x+1\)

\(8x=13-1\)

\(x=12:8\)

\(x=\dfrac{12}{8}=\dfrac{3}{2}\)

\(\frac{3}{4}+\frac{1}{4}\cdot x+x-\frac{7}{6}\cdot x=\frac{5}{12}\)

\(\frac{3}{4}+\frac{1}{4}\cdot x-\frac{7}{6}\cdot x+x\cdot1=\frac{5}{12}\)

\(\frac{3}{4}+x\left(\frac{1}{4}-\frac{7}{6}+1\right)=\frac{5}{12}\)

\(\frac{3}{4}+x\cdot\frac{1}{12}=\frac{5}{12}\)

\(x\cdot\frac{1}{12}=\frac{5}{12}-\frac{3}{4}\)

\(x\cdot\frac{1}{12}=\frac{5}{12}-\frac{9}{12}\)

\(x\cdot\frac{1}{12}=\frac{-1}{3}\)

\(x=\frac{-1}{3}\text{ : }\frac{1}{12}\)

\(x=\frac{-1}{3}\cdot12\)

\(x=\frac{-12}{3}\)

\(x=-4\)

\(\text{b, }0,25\cdot x-\frac{2}{3}\cdot x=-1\frac{1}{6}\)

\(\frac{1}{4}\cdot x-\frac{2}{3}\cdot x=\frac{-7}{6}\)

\(x\cdot\left(\frac{1}{4}-\frac{2}{3}\right)=\frac{-7}{6}\)

\(x\cdot\frac{-5}{12}=\frac{-7}{6}\)

\(x=\frac{-7}{6}\text{ : }\frac{-5}{12}\)

\(x=\frac{-7}{6}\cdot\frac{12}{-5}\)

\(x=\frac{-14}{-5}\)

1/15

giup minh voi, di ma

\(\dfrac{1}{2}\times\left(\dfrac{1}{3}-\dfrac{1}{5}\right)=\dfrac{1}{2}\times\left(\dfrac{5}{15}-\dfrac{3}{15}\right)=\dfrac{1}{2}\times\dfrac{2}{15}=\dfrac{1}{15}\)

\(\frac{4}{7}x-\frac{2}{3}=\frac{1}{5}\)

\(\Leftrightarrow\frac{4}{7}x=\frac{1}{5}+\frac{2}{3}\)

\(\Leftrightarrow\frac{4}{7}x=\frac{3}{15}+\frac{10}{15}\)

\(\Leftrightarrow\frac{4}{7}x=\frac{13}{15}\)

\(\Leftrightarrow x=\frac{13}{15}:\frac{4}{7}=\frac{13}{15}\cdot\frac{7}{4}=\frac{91}{60}\)

\(\frac{4}{7}.x-\frac{2}{3}=\frac{1}{5}\)

\(\frac{4}{7}.x=\frac{1}{5}+\frac{2}{3}\)

\(\frac{4}{7}.x=\frac{13}{15}\)

\(x=\frac{13}{15}:\frac{4}{7}\)

\(x=\frac{91}{60}\)

tham khảo

\(\dfrac{7}{3}.\dfrac{-5}{2}.\dfrac{15}{21}.\dfrac{-4}{5}=-\dfrac{46}{630}=-\dfrac{23}{315}\)

\(\dfrac{7}{3}x\dfrac{-5}{2}x\dfrac{15}{21}x\dfrac{4}{-5}\)

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

\(=\dfrac{7x\left(-5\right)x5x4}{3x2x7x\left(-5\right)}\)

=\(=\dfrac{10}{3}\)

    \(\dfrac{20\times25\times7\times8}{75\times8\times12\times14}\)

=   \(\dfrac{4\times5\times25\times7\times8}{3\times25\times8\times3\times4\times2\times7}\)

= \(\dfrac{25\times7\times8\times4\times5}{25\times7\times8\times4\times2\times3\times3}\)

= \(\dfrac{25\times7\times8\times4}{25\times7\times8\times4}\) x \(\dfrac{5}{2\times3\times3}\)

= 1 x \(\dfrac{5}{18}\)

= \(\dfrac{5}{18}\)

\(=\dfrac{5.4.5.5.7.8}{5.3.5.8.7.4}\)

Triệt tiêu những phần giống nhau của cả tử và mẫu ta có: 

\(=\dfrac{5}{3}\)