Question

Solve 4x-1/5X+2=-4 and find the value of x​

Answer 1

As per data given in the question,

We have to determine the value of "x" when the equation "$4x - \frac{1}{5}x+2 = 4$ is solved.

So, for solving the given equation, we will separate the like terms on one sides of equation,

So, shifting the 2 from LHS to RHS of the equation,

We will get,

$4x - \frac{1}{5}x+2 = 4\\4x - \frac{1}{5}x= 4-2\\4x - \frac{1}{5}x = 2$

Solving the terms containing x we will get,

$4x - \frac{1}{5}x = 2\\\frac{20-1}{5}x = 2\\=> \frac{19}{5}x = 2\\=> 19x = 10\\=> x = \frac{10}{19}$

Answer 2

Given data:-

$4x-\frac{1}{5x} +2=-4$

As we have to find the value of x,

For that, we will separate the like terms on one side of the equation,

Now, shifting the 2 from LHS to RHS of the equation,

$=>4x-\frac{1}{5x} =4-2$

$=>4x-\frac{1}{5x} =2$

By simplifying the LHS,

$=>\frac{20-1}{5} =2$

$=>\frac{19}{5} x=2$

Multiplying 5 by 2 we get,

$=>19x=10$

$=>x=\frac{10}{19}$

The value of x is $\frac{10}{19}$