Question

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

Answer 1

$\frac{x-1}{2} - \frac{3x-2}{3} = 1-\frac{4x}{4} \\\\ \frac{x-1}{2} - \frac{3x-2}{3} = 1-x ~~~ \rightarrow ~~~ MMC = 6 \\\\ \frac{3\cdot(x-1) ~-~2\cdot (3x-2)~=~6~-~6x}{6} \\\\ 3\cdot(x-1) ~-~2\cdot (3x-2)~=~6~-~6x \\\\ 3x - 3 -6x +4 = 6 - 6x \\\\ 3x - 6x + 6x = 6 + 3 - 4 \\\\ 3x = 5 \\\\ \boxed {x = \frac{3}{5}}$