Question

3x/4-x-1/2=x-2/3. simplify ​

Answer 1

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Answer 2

Given,

3x/4-x-1/2=x-2/3

To Find,

The simplification of 3x/4-x-1/2=x-2/3 =?

Solution,

We can solve the question using the following ways:

It is given that,
$\frac{3x}{4} - x - \frac{1}{2} = x - \frac{2}{3}$

Bringing all the x terms to the LHS and the other terms to the RHS,

⇒ $\frac{3x}{4} -x -x = - \frac{2}{3} + \frac{1}{2}$

⇒ $\frac{3x}{4} - 2x = - \frac{1}{6}$

Taking LCM on the LHS of the equation,

⇒ $\frac{-5x}{4} = -\frac{1}{6}$

⇒ $\frac{5x}{4} = \frac{1}{6}$

⇒ $30x = 4$

⇒ $x = \frac{2}{15}$

Hence, the value of x is equal to $\frac{2}{15}$.