Answer
(a) $7x-3$
(b) $-3x+11$
(c) $6x-14$
Work Step by Step
Part (a)
=$2(x-3)+ (5x+3)$
=$2x-6+5x+3$
=$2x+5x-6+3$
=$7x-3$
Part (b)
=$4(3x+2)-3(5x-1)$
=$12x+8-15x+3$
=$12x-15x+8+3$
=$-3x+11$
Part (c)
=$7x+2(x-7)-3x$
=$7x+2x-14-3x$
=$7x+2x-3x-14$
=$6x-14$