d) \(x+\dfrac{3}{4}=\dfrac{36}{144}.\dfrac{-12}{9}\)
\(\Rightarrow x+\dfrac{3}{4}=\dfrac{-1}{3}\)
\(\Rightarrow x=\dfrac{-1}{3}-\dfrac{3}{4}\)
\(\Rightarrow x=\dfrac{-4}{12}-\dfrac{9}{12}\)
\(\Rightarrow x=\dfrac{-13}{12}\)
e)
\(\dfrac{8}{23}.\dfrac{46}{24}=\dfrac{1}{3}.x\)
\(\Rightarrow\dfrac{1}{3}.x=\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{2}{3}:\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{2}{3}.3\)
\(\Rightarrow x=2\)
f)
\(\dfrac{1}{5}:x=\dfrac{1}{5}-\dfrac{1}{7}\)
\(\dfrac{1}{5}:x=\dfrac{7}{35}-\dfrac{5}{35}\)
\(\dfrac{1}{5}:x=\dfrac{2}{35}\)
\(\Rightarrow x=\dfrac{1}{5}:\dfrac{2}{35}\)
\(\Rightarrow x=\dfrac{1}{5}.\dfrac{35}{2}\)
\(\Rightarrow x=\dfrac{7}{2}\)
f) 1/5 : x = 1/5 - 1/7
1/5 : x = 2/35
x = 1/5 : 2/35
x = 7/2
e) x + 3/4 = 36/144 . -12/9
x + 3/4 = -1/3
x = -1/3 - 3/4
x = -13/12
d, x+3/4=-1/3
=>x=-13/12
e, 2/3=1/3.x
=>x=2
f, 1/5:x=2/35
=>x=1/5:2/35
=>x=7/2