Question

Chelsea shows her work in finding the solution to 4x−5=2+3(x−3). After checking her answer in the original equation, she found that it did not work. Where did she make a mistake?

Answer 1

here value of x =(-2)

Answer 2

Chelsea might have made a mistake while dealing with the brackets in the question. While solving an equation like this, it is necessary to open the pair of brackets correctly, otherwise it may lead to the wrong answer. Here is what she might have done-

$4x-5 = 2+3(x-3)\\ 4x-5=2+3x-3\\ 4x-3x=2-3+5\\ x=4$

Here is the correct solution-

$4x-5=2+3(x-3)\\ 4x-5=2+3x-3*3\\ 4x-5=2+3x-9\\4x-3x=2-9+5\\x=-2$