Question

1/2(x -2)+3=3/8(3x-4);4

Answer 1

Answer:

The value of x for given expression is $\dfrac{28}{5}$ .

Step-by-step explanation:

Given expression as :

$\dfrac{1}{2}$×(x - 2) + 3 = $\dfrac{3}{8}$×(3 x - 4)

Or, $\dfrac{x}{2}$ - $\dfrac{2}{2}$ + 3 = $\frac{3\times 3 x}{8}$ - $\frac{3\times 4}{8}$

Or,  $\dfrac{x}{2}$ - 1 + 3 =  $\frac{9 x}{8}$ - $\frac{3}{2}$

Or,  $\dfrac{x}{2}$ + 2 =  $\frac{9 x}{8}$ - $\frac{3}{2}$

Now, rearranging both sides

So, 2 + $\frac{3}{2}$ =  $\frac{9 x}{8}$ -  $\frac{x}{2}$

Taking LCM , we get

$\frac{4 + 3}{2}$ =  $\frac{9 x - 4 x}{8}$

Or,  $\frac{7}{2}$ =  $\frac{5 x}{8}$

Or, 5 x =  $\frac{7}{2}$ × 8

Or, 5 x = $\frac{7\times 8}{2}$

Or, 5 x = 28

∴ x = $\dfrac{28}{5}$

So, The value of x = $\dfrac{28}{5}$

Hence,The value of x for given expression is $\dfrac{28}{5}$ . Answer