Question

( x /5 + 2/3 ) : 5/2 = x - 1

Answer 1

\(\left(\dfrac{x}{5}+\dfrac{2}{3}\right):\dfrac{5}{2}=x-1\)

 \(\Rightarrow\dfrac{3x+10}{15}\times\dfrac{2}{5}=x-1\)

\(\Rightarrow\dfrac{6x+20}{75}=x-1\)

\(\Rightarrow6x+20=75x-75\)

\(\Rightarrow x=\dfrac{69}{95}\)

tick nha

Answer 2

Ta có: \(\left(\dfrac{1}{5}x+\dfrac{2}{3}\right):\dfrac{5}{2}=x-1\)

\(\Leftrightarrow\dfrac{3x+10}{15}\cdot\dfrac{2}{5}=x-1\)

\(\Leftrightarrow\dfrac{6x+20}{75}=x-1\)

\(\Leftrightarrow6x+20=75x-75\)

\(\Leftrightarrow6x-75x=-75-20\)

\(\Leftrightarrow-69x=-95\)

hay \(x=\dfrac{95}{69}\)