\(12,45\times x-0,45\times x+x=3,9.\)

\(\Leftrightarrow x\times\left(12,45-0,45+1\right)=3,9.\)

\(\Leftrightarrow x\times13=3,9.\)

\(\Leftrightarrow x=0,3.\)

Vậy \(x=0,3.\)

Tự làm dễ mà 

3/5 X + 2X + 40 = 53

 13/5 X              = 53 - 40

 13/5 X              = 13

    X                   = 13 : 13/5

    X                  = 5

\(\frac{3}{5}x+2x+40=53\)

\(\Leftrightarrow\frac{13}{5}x+40=53\)

\(\Leftrightarrow\frac{13}{5}x=53-40\)

\(\Leftrightarrow\frac{13}{5}x=13\)

\(\text{Mẫu chung:5}\)

\(\Leftrightarrow13.5x=13.5\)

\(65x=65\)

\(\Rightarrow x=1\)

\(a,\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)

\(\Leftrightarrow x+\frac{1}{2}+x+\frac{1}{4}+x+\frac{1}{8}+x+\frac{1}{16}=1\)

\(\Leftrightarrow\left(x+x+x+x\right)+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)

\(\Leftrightarrow4\times x+\frac{15}{16}=1\)

\(\Leftrightarrow4\times x=1-\frac{15}{16}\)

\(\Leftrightarrow4\times x=\frac{1}{16}\)

\(\Leftrightarrow x=\frac{1}{16}\div4\)

\(\Leftrightarrow x=\frac{1}{64}\)

\(b,x-\frac{20}{11.13}-\frac{20}{13.15}-...-\frac{20}{53.55}=\frac{3}{11}\)

\(\Leftrightarrow x-\left(\frac{20}{11.13}+\frac{20}{13.15}+...+\frac{20}{53.55}\right)=\frac{3}{11}\)

\(\Leftrightarrow x-\left[715\times\left(\frac{1}{11}-\frac{1}{13}-\frac{1}{13}+...+\frac{1}{55}\right)\right]=\frac{3}{11}\)

\(\Leftrightarrow x-\left[715\times\left(\frac{1}{11}-\frac{1}{55}\right)\right]=\frac{3}{11}\)

\(\Leftrightarrow x-\left[715\times\frac{4}{55}\right]=\frac{3}{11}\)

\(\Leftrightarrow x-52=\frac{3}{11}\)

\(\Leftrightarrow x=\frac{3}{11}+52\)

\(\Leftrightarrow x=\frac{575}{11}\)

\(\dfrac{4}{3}\) = \(\dfrac{20}{4}\)\(x\) - 1

5\(x\) - 1 = \(\dfrac{4}{3}\)

5\(x\)      = \(\dfrac{4}{3}\) + 1

5\(x\)     = \(\dfrac{7}{3}\)

 \(x\)      = \(\dfrac{7}{3}\) : 5

 \(x\)     = \(\dfrac{7}{15}\)

b,

2\(\times\)\(x\) = 3\(\times\) y 

     \(x\) = \(\dfrac{3}{2}\) \(\times\) y

y - \(\dfrac{3}{2}\) \(\times\) y = 5

\(y\) \(\times\) ( 1 - \(\dfrac{3}{2}\)) = 5

\(y\) \(\times\) - \(\dfrac{1}{2}\) = 5

\(y\)            = 5 : (-\(\dfrac{1}{2}\))

\(y\)            = - 10

\(x\)  = y - 5 = -10 - 5 =-15