Question

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Answer 1

$\huge\fcolorbox{red}{cyan}{x = 2}$

Explaination :-

$\frac{2}{3}(x-3) = 1 - \frac{5}{6}(3x-4) \\ => \frac{2x}{3}-\frac{6}{3} = 1 - \frac{15x}{6} + \frac{20}{6} \\ => \bf{Lets\:Convert\:Them\:In\:Simplest\:Form} \\ => \frac{2x}{3} - 2 = 1 - \frac{5x}{2}+\frac{10}{3} \\ => \frac{2x-6}{3} = \frac{6-15x+20}{6} \\ => \frac{2x-6}{3} = \frac{26-15x}{6} \\ => 6(2x-6) = 3(26 - 15x) \\ => 12x - 36 = 78 - 45x \\ => 12x + 45 x = 78 + 36 \\ => 57x = 114 \\ =>x = \frac{114}{57} \\ => \boxed{x = 2}$

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Answer 2

Answer:

Explaination :-

\begin{gathered}\frac{2}{3}(x-3) = 1 - \frac{5}{6}(3x-4) \\ = > \frac{2x}{3}-\frac{6}{3} = 1 - \frac{15x}{6} + \frac{20}{6} \\ = > \bf{Lets\:Convert\:Them\:In\:Simplest\:Form} \\ = > \frac{2x}{3} - 2 = 1 - \frac{5x}{2}+\frac{10}{3} \\ = > \frac{2x-6}{3} = \frac{6-15x+20}{6} \\ = > \frac{2x-6}{3} = \frac{26-15x}{6} \\ = > 6(2x-6) = 3(26 - 15x) \\ = > 12x - 36 = 78 - 45x \\ = > 12x + 45 x = 78 + 36 \\ = > 57x = 114 \\ = > x = \frac{114}{57} \\ = > \boxed{x = 2}\end{gathered}32(x−3)=1−65(3x−4)=>32x−36=1−615x+620=>LetsConvertThemInSimplestForm=>32x−2=1−25x+310=>32x−6=66−15x+20=>32x−6=626−15x=>6(2x−6)=3(26−15x)=>12x−36=78−45x=>12x+45x=78+36=>57x=114=>x=57114=>x=2

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