# What is the logical first step in solving the equation |2x-1|=5?

What is the logical first step in solving the equation
|2x-1|=5?
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rodclassique4r
The given equation is, |2x-1|=5.
We use the absolute value to obtain two equations.
Thus, |2x-1|=5 is same as
2x-1=5 or 2x-1=-5
2x=6 or 2x=-4
x=3 or x=-2

sukljama2
Step 1
The given equation is |2x-1|=5.
Step 2
Rewrite the equation |2x-1|=5 without absolute bars.
2x-1=5 or 2x-1=-5
Add 1 to both sides of each equation.
2x=5+1 or 2x-1=-5+1
2x=6 or 2x=-4
x=3 or x=-2
Therefore, the solution set is {-2,3}.