Question
Solve : $x+7-\frac{8 x}{3}=\frac{17 x}{6}-\frac{5 x}{8}$
✓
Answer
$ x+7-\frac{8 x}{3}=\frac{17 x}{6}-\frac{5 x}{8}$
$ \Rightarrow \frac{3(x+7)-8 x}{3}=\frac{17 x \times 4-5 x \times 3}{24}$
$ \Rightarrow \frac{3 x+21-8 x}{3}=\frac{68 x-15 x}{24}$
$ \Rightarrow \frac{-5 x+21}{3}=\frac{53 x}{24}$
$ \Rightarrow 3 \times 53 x=24(-5 x+21)$
$ \Rightarrow 159 x=-120 x+504$
$ \Rightarrow 159 x+120 x=504$
$ \Rightarrow 279 x=504$
$ \Rightarrow x=\frac{504}{279}=\frac{168}{93}=\frac{56}{61}$
$ \therefore x=1 \frac{25}{31}$
$ \Rightarrow \frac{3(x+7)-8 x}{3}=\frac{17 x \times 4-5 x \times 3}{24}$
$ \Rightarrow \frac{3 x+21-8 x}{3}=\frac{68 x-15 x}{24}$
$ \Rightarrow \frac{-5 x+21}{3}=\frac{53 x}{24}$
$ \Rightarrow 3 \times 53 x=24(-5 x+21)$
$ \Rightarrow 159 x=-120 x+504$
$ \Rightarrow 159 x+120 x=504$
$ \Rightarrow 279 x=504$
$ \Rightarrow x=\frac{504}{279}=\frac{168}{93}=\frac{56}{61}$
$ \therefore x=1 \frac{25}{31}$
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