Question

PLEASE HELP WILL GIVE MEDAL AND FAN

Below are the steps to solve an equation:

step 1: [x - 5] + 2 = 5
step 2: [x - 5] = 5 - 2
step 3: [x - 5] = 3

which of the following is a correct next step to solve the equation?

A. x + 5 = -3

B. -x - 5 = 3

C. x - 5 = -3

D. x + 5 = 3

Answer 1

i think all the given options are wrong.

Answer 2

\[\left| x-5 \right| +2=5\rightarrow \left| x-5 \right|=5-2\rightarrow \left| x-5 \right|=3\]

Answer 3

| x - 5 | = 3

x - 5 = 3 and -(x - 5) = 3 which is the same as -x + 5 = 3....oh..thats not an answer choice
-(x - 5) = 3
-x + 5 = 3 --- multiply by -1 to make x positive
x - 5 = -3....I am going with C