Question 254513
18(-x-2)-4(-9+3x)=-14



-18x - 36 + 36 - 12X = -14  (Distribute the 18 and multiply 18(-x), which is -18x as well as 18(-2), which is -36.  Also distribute the -4 and multiply -4(-9) which is 36 as well as -4(3x) which is -12x).


-30X = -14  (Combine like terms and add -36 + 36, which is 0.  Then add -18x - 12X, which is -30 X)


{{{x}}} = {{{(-14)/-30}}} (divide both sides by -30 to isolate the "X")


{{{x = 14/30}}} (a negative divided by a negative is a positive)


{{{x = 7/15}}} (reduce the fraction of {{{14/30}}} by dividing the numerator and denominator by 2)



Final answer:  {{{x = 7/15}}}


I hope this helps. :-)