X/2-x/3=x/3+1 by using cross multiplication method

1.	X/2-x/3=x/3+1 by using cross multiplication method
Answer» Step-by-step explanation: ${\dfrac {x}{2}}-{\dfrac {x}{3}}={\dfrac{x}{3}}+1$ First ADD and SUBTRACT both SIDES accordingly. ${:}\longrightarrow$ ${\dfrac {3x-2x}{6}}={\dfrac {x+3}{3}}$ ${:}\longrightarrow$ ${\dfrac {x}{6}}={\dfrac{x+3}{3}}$ Now we USE cross multiplication. ${:}\longrightarrow$ $3x=6(x+3)$ ${:}\longrightarrow$ $3x=6x+18$ Now interchange both sides. ${:}\longrightarrow$ $6x+18=3x$ ${:}\longrightarrow$ $6x-3x=18$ ${:}\longrightarrow$ $3x=18$ ${:}\longrightarrow$ $x={\dfrac {18}{3}}$ ${:}\longrightarrow$ $x=6$ $\therefore$ ${\underline{\boxed{\bf {x=6}}}}$

Answer»

Step-by-step explanation:

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