# Solve absolute value equation or indicate the equation has no

Jason Yuhas 2021-12-19 Answered
Solve absolute value equation or indicate the equation has no solution.
|x+1|=5
You can still ask an expert for help

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Mary Goodson
Step 1
To solve the equation: |x+1|=5
Solution:
We know, if
$|x|=a,⇒x=±a$
|x+1|=5
$⇒x+1=±5$

hence, required solutions are:
x={4,-6}
Step 2
Result:
Solutions are: x={4, -6}.
###### Not exactly what you’re looking for?
zurilomk4
Calculation
The equation is |x+1|=5.
Open the modulus and solve.
$x+1=±5$
Take the positive value.
x+1=5
x+1-1=5-1 (Subtract 1 from both sides)
x=4
Take the negative value.
x+1=-5
x+1-1=-5-1 (Subtract 1 from both sides)
x=-6
Result
Thus, the values of x are {-6,4}.