Question

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

Answer 1

$\textbf{Given:}$

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

$\text{After simplifing the given equation step by step, we get the solution}$

$\frac{9x-(x-2)}{3}=\frac{16-(x-1)}{4}$

$\frac{9x-x+2}{3}=\frac{16-x+1}{4}$

$\frac{8x+2}{3}=\frac{17-x}{4}$

$32x+8=51-3x$

$32x+3x=51-8$

$35x=43$

$\implies\;x=\frac{43}{35}$

$\therefore\textbf{The solution is }\bf\;x=\frac{43}{35}$

Answer 2

The value of X is"$\bold{ \dfrac{53}{48}}$".

Step-by-step explanation:

• we have the equation as:

        $3x- x- \dfrac{2}{3} = 4- x- \dfrac{1}{4}$

• so we can  calculate the value x by arranging x variables,we get:

    $\Rightarrow 3x-x+x = 4 -\dfrac{1}{4} +\dfrac{2}{3}$

• we get the value of x as:-

       $\Rightarrow 3x = 4 + \dfrac{2}{3} -\dfrac{1}{4}\\\Rightarrow 3x = 4+ \dfrac {8- 3}{12}\\\Rightarrow 3x = 4 +\dfrac{5}{12}$

• So finally we have the value of x as:

        $3x = \dfrac{48+5}{12}\\3x = \dfrac{53}{12}\\x = \dfrac{53}{12 \times 4}\\x = \dfrac{53}{48}$

The value of x is $\bold{\dfrac{53}{48}}$ .