Verified Answer :

Answer: x=11 and x=-1

Step-by-step explanation:

To solve the equation |x - 5| + 7 = 13, you'll need to isolate the absolute value expression and then solve for x. Here's how:

Subtract 7 from both sides of the equation:

|x - 5| = 13 - 7

|x - 5| = 6

Now, you'll have two cases to consider for the absolute value:

Case 1: (x - 5) = 6

Case 2: (x - 5) = -6

Solve each case separately:

Case 1:

x - 5 = 6

Add 5 to both sides:

x = 6 + 5

x = 11

Case 2:

x - 5 = -6

Add 5 to both sides:

x = -6 + 5

x = -1

So, the solutions to the equation are x = 11 and x = -1.

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Answer: B

Step-by-step explanation:

|x-5|+7=13

subtract 7 from both sides

|x-5|=6

split the simplified problem into two cases

x-5=6 and -(x-5)=6

for x-5=6, add 5 to both sides, x=11.

for -(x-5)=6, distribute the negative sign. -x+5=6. subtract 5: -x=1. then divide by negative one and get x=-1.

Therefore: x=11,-1

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