# Appendix B - Exercise Set - Page 981: 55

$x=1$

#### 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 $x=1$.

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