Question

Solve the absolute value equation - 5 | x + 1 | + 2 = 12 if there is no solution, state no solution

Answer 1

Let's solve your equation step-by-step.

−5(|x+1|)+2=12

Step 1: Add -2 to both sides.

−5(|x+1|)+2+−2=12+−2

−5(|x+1|)=10

Step 2: Divide both sides by -5.

−5(|x+1|)

−5

=

10

−5

|x+1|=−2

Step 3: Solve Absolute Value.

|x+1|=−2

No solutions. (Absolute value cannot be less than 0.)

Explanation: