Answer
$x=1$
Work Step by Step
$-3(x-4)+x=5(3-x)$
$-3x+12+x=15-5x$
$-3x+x+12=15-5x$
$-2x+12=15-5x$
$-2x+5x+12=15-5x+5x$
$3x+12=15$
$3x+12-12=15-12$
$3x=3$
$x=1$
Check:
$-3(1-4)+1=5(3-1)$
$-3(-3)+1=5(2)$
$9+1=10$
$10=10$
Therefore, the answer is $x=1$.
