Karissa begins to solve the equation (x – 14) + 11 = x – (x – 4). Her work is correct and is shown below. (x – 14) + 11 = x – (x – 4) x – 7 + 11 = x – x + 4 x + 4 = –x + 4 When she subtracts 4 from both sides, x = –x results. What is the value of x ?
Her work is incorrect because she accidentally changed -14 to -7 in the second step. Working it out from the top we get (x-14)+11=x-(x-4) x-14+11=x-x+4 x-3=0+4 Final answer: x=7 Hope I helped :)