Question

Solve for $x$:

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

Answer 1

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

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

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

$32x+8=51-3x$

$35x=43$

$\Rightarrow x=\frac{43}{35}$

Hence, the answer is $\frac{43}{35}.$