Respuesta :
Answer:
The value of x for given expression is [tex]\dfrac{28}{5}[/tex] .
Step-by-step explanation:
Given expression as :
[tex]\dfrac{1}{2}[/tex]×(x - 2) + 3 = [tex]\dfrac{3}{8}[/tex]×(3 x - 4)
Or, [tex]\dfrac{x}{2}[/tex] - [tex]\dfrac{2}{2}[/tex] + 3 = [tex]\frac{3\times 3 x}{8}[/tex] - [tex]\frac{3\times 4}{8}[/tex]
Or, [tex]\dfrac{x}{2}[/tex] - 1 + 3 = [tex]\frac{9 x}{8}[/tex] - [tex]\frac{3}{2}[/tex]
Or, [tex]\dfrac{x}{2}[/tex] + 2 = [tex]\frac{9 x}{8}[/tex] - [tex]\frac{3}{2}[/tex]
Now, rearranging both sides
So, 2 + [tex]\frac{3}{2}[/tex] = [tex]\frac{9 x}{8}[/tex] - [tex]\frac{x}{2}[/tex]
Taking LCM , we get
[tex]\frac{4 + 3}{2}[/tex] = [tex]\frac{9 x - 4 x}{8}[/tex]
Or, [tex]\frac{7}{2}[/tex] = [tex]\frac{5 x}{8}[/tex]
Or, 5 x = [tex]\frac{7}{2}[/tex] × 8
Or, 5 x = [tex]\frac{7\times 8}{2}[/tex]
Or, 5 x = 28
∴ x = [tex]\dfrac{28}{5}[/tex]
So, The value of x = [tex]\dfrac{28}{5}[/tex]
Hence,The value of x for given expression is [tex]\dfrac{28}{5}[/tex] . Answer
