Colin needs to write a 4-page essay. if he writes 4/5 of a page each night, how many nights will it take him to finish the essay?

It will take him 5 days

First we solve your equation step-by-step.4.5  (8  −  x)  +  36  =102  −  2.5  (3  x  +  24)step 1: 4.5  (8  −  x)  +  36  =  102  −  2.5  (3  x  +  24)simplify: (show   the  steps)−4.5  x  +72  =−7.5  x  +  42step 2: add 7.5  x to both sides.  −4.5  x  +  72  +  7.5  x  =−7.5  x+  42  +  7.5  x  3  x  +  72  =  42step 3: subtract 72 from both sides.  3  x  +  72  −  72  =  42  −  723  x  =  −30step 4: divide both sides by 3.3  x  3=  −303  x=  −10so x = -10