Question

Solve the equation:
x/2 + x/3 - x/4 = 7​

Answer 1

⠀

$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

⠀

$\sf{\underline{\green{Given:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\dfrac{x}{2} + \dfrac{x}{3} - \dfrac{x}{4} = 7}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\underline{\green{Explanation:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\dfrac{x}{2} + \dfrac{x}{3} - \dfrac{x}{4} = 7}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {\dfrac{6x + 4x - 3x}{12} = 7}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {\dfrac{10x - 3x}{12} = 7}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {\dfrac{7x}{12} = 7}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {x = \dfrac{12 \times 7}{7} }$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {x = 12}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\rule{200}{2}$

Answer 2

Solution:

$\large{\sf{ \dfrac{x}{2} + \dfrac{x}{3} - \dfrac{x}{4} = 4 }}$

$\implies\large{\sf{ \dfrac{6x + 4x - 3x}{12} = 7 }}$

$\implies\large{\sf{ \dfrac{7x}{12} = 7 }}$

$\implies\large{\sf{ 7x = 7 \times 12 }}$

$\implies\large{\sf{ 7x = 84 }}$

$\implies\large{\sf{ x = \dfrac{84}{7} }}$

$\implies\large{\sf{ x = 12 }}$

_______________________

Hope it will be helpful :)⚡