# Solve an equation involving absolute value.

Josalynn 2021-01-10 Answered
Solve an equation involving absolute value.
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## Expert Answer

Jayden-James Duffy
Answered 2021-01-11 Author has 91 answers
Step 1
To explain about an equation having absolute value.
Step 2
following steps for Solving equation involving absolute value
(a) Isolate the absolute value expression
(b)set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation
(c) solve for the unknowns in both the equations
(d) now check the answer graphically and analytically
for example
$|2x-5|=5$
The absolute value is already isolated either 2x+1=5 or 2x-1=-5
now solve the equation
2x-1=5
2x=6
x=3
2x-1=-5
2x=-4
x=-2
check the solutions by substituting in the equation
$|2\left(3\right)-1|=5$
5=5
$|2\left(-2\right)-1|=5$
5=5
therefore x = -2,3 are two solutions.
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