a)
[tex]x+2 = -15\\\\x = -15-2\\\\\boxed{x = -17}[/tex]
b)
[tex]-3x-5 = -18\\\\-3x=-18+5\\\\-3x=-13 \ \ \ |:(-3)\\\\\boxed{x = \frac{13}{3}=4\frac{1}{3}}[/tex]
c)
[tex]-4x+6=-18\\\\-4x = -18-6\\\\-4x = -24 \ \ \ |:(-4)\\\\\boxed{x = 6}[/tex]
d)
[tex]-3x+2 = -5x+6\\\\-3x+5x=6-2\\\\2x=4 \ \ \ |:2\\\\\boxed{x = 2}[/tex]
e)
[tex]-3(x-2) = -7(x+6)\\\\-3x+6 = -7x-42\\\\-3x+7x = -42-6\\\\4x = -48 \ \ \ |:4\\\\\boxed{x = -12}[/tex]
f)
[tex]\frac{1}{2}x+2=\frac{3}{5}x-7 \ \ \ |\cdot10\\\\10\cdot\frac{1}{2}x + 10\cdot2 = 10\cdot\frac{3}{5}x -10\cdot7\\\\5x+20=6x-70\\\\5x-6x = -70-20\\\\-x = -90 \ \ \ |:(-1)\\\\\boxed{x = 90}[/tex]
