Solve an equation involving absolute value.

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
${\displaystyle \left|2x-5\right|=5}$
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
${\displaystyle \left|2\left(3\right)-1\right|=5}$
5=5
${\displaystyle \left|2(-2)-1\right|=5}$
5=5
therefore x = -2,3 are two solutions.