Question

Solve 12x/3 - 1/2 =5x/3 + 5/2

Answer 1

I try to answer

[tex]\mathsf {\frac{12x}{3} - \frac{1}{2} = \frac{5x}{3} + \frac{5}{2} =... }\\\ \mathsf { \frac{(12x .2-1.3)}{3.2} = \frac{(5x.2+5.3)}{3.2} } \\\ \mathsf { \frac{(24x-3)}{6}= \frac{(10x+15)}{6} \Rightarrow strikethrough~6 }\\\ \mathsf {24x-3=10x+15 \\\ 24x-10x=15+3} \\\ \mathsf {14x=18} \\\ \mathsf {x= \frac{18}{14}} \\\\ \boxed{\boxed{ \mathsf {x= \frac{9}{7}} }}[/tex]

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Answer 2

$\huge{ \bold{solution : } }$

$\sf \dfrac{12x}{3} - \dfrac{1}{2} = \dfrac{5x}{3} + \dfrac{5}{2} \\ \\ \sf \frac{12x}{3} - \frac{5x}{3} = \frac{5}{2} + \frac{1}{2} \\ \\ \sf \frac{12x - 5x}{3} = \frac{5 + 1}{2} \\ \\ \sf \frac{7x}{3} = \frac{6}{2} \\ \\ \sf 7x \times 2 = 6 \times 3 \\ \\ \sf 14x = 18 \\ \\ \sf x = \frac{18}{14} = \frac{9}{7} \\ \\ \therefore \bf x = \frac{9}{7}$

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Thanks for the question!