Solve the equation: |-2x + 5| = 2x - 5
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calendarEducator since 2010
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We have to solve the equation |-2x + 5| = 2x - 5
Now |-2x + 5| = -2x + 5 or 2x - 5
So we get -2x + 5 = 2x - 5
=> 4x = 10
=> x= 5/2
and 2x - 5 = 2x - 5, which does not yield a solution
The required value of x is 5/2
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calendarEducator since 2008
write3,662 answers
starTop subjects are Math, Science, and Social Sciences
l -2x +5 l = 2x -5
We have two cases:
(-2x+5) = 2x -5
==> We will combine like terms.
==> -2x -2x = -5 -5
==> -4x = -10
Divide by -4.
==> x = 10/4 = 5/2= 2.5...........(1)
Case (2):
- (-2x+5) = 2x-5
==> 2x -5 = 2x -5
==> 0 = 0
==> the answer is all x values such that - (-2x+5) > 0
==> 2x -5 >0
==> 2x > 5
==> x > 5/2..............(2)
Then, from (1) and (2) we have:
x= [ 5/2, inf)