Question

Solve : $\frac{x-1}{5}-\frac{x}{3}=1-\frac{x-2}{2}$

Answer 1

Given,

$\frac{x-1}{5}-\frac{x}{3}=1-\frac{x-2}{2}$

LCM of $5,3,2=30$

$\frac{x-1}{5}\cdot 30-\frac{x}{3}\cdot 30=1\cdot 30-\frac{x-2}{2}\cdot 30$

$6(x-1)-10x=30-15(x-2)$

$-4x-6=-15x+60$

$11x=66$

$\therefore x=6$