(-1/4)(x-8)+(1/2)(x+2)=x+9 please show me how to solve this

Question

anonymous · Answer

distribute first to get
(-1/4)x+2 + (1/2)x+1 = x +9

anonymous · Answer

next, collect like terms:

(-1/4)x+(1/2)x + 2 +1 = x + 9

(1/4)x+3 = x +9

anonymous · Answer

bring x's to one side and numbers to the other

x-(1/4)x = 3-9

(3/4)x = -6

anonymous · Answer

multiply by the reciprocal of (3/4) on both sides to get
 
x = -6(4/3) = -24/3 = -8

anonymous · Answer

how did you get neg 8 from 6(4/3) to me it would be -7 1/3 I see how you mulitiplied -6 by 4 but y four and not 3 3/3 is the whole number not 4 im confused

anonymous · Answer

-6 times 4/3 is the same as -6/1 times 4/3.  Multiply the numerators and denominators separately in fractions to get (-6)(4)/(1)(3) = -24/3 = -8

anonymous · Answer

Ok i get it  thank you

anonymous · Answer

No problem