Question

Find for x 1/5x + 1/3= 3(2/3x -2)

Answer 1

Answer:

The value of x  for the given expression is  (95/27)

Step-by-step explanation:

Here, the given expression is:

$\frac{1}{5} x + \frac{1}{3} = 3(\frac{2}{3}x -2)$

Now here  solving for the value of x , we get

$\frac{1}{5} x + \frac{1}{3} = 3(\frac{2}{3}x) -6\\\implies\frac{1}{5} x + \frac{1}{3} = 2x -6$

Now, taking the variable terms on 1 side, we get

$\frac{1}{5} x - 2x = -6 - \frac{1}{3} \\\implies\frac{x - 10x}{5} = -(\frac{6(3) +1}{3} )$

or, $\frac{-9x}{5} = -\frac{19}{3} \implies x = \frac{19}{3} \times\frac{5}{9} = \frac{95}{27}$

Hence,  the value of x = (95/27)