Step by step solution :

Step 1 :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered|2x-3|=5

Step 2 :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case và the other for the Negative case.The Absolute Value term is|2x-3|For the Negative case we"ll use-(2x-3)For the Positive case we"ll use(2x-3)

Step 3 :

Solve the Negative Case

-(2x-3)=5Multiply-2x+3=5Rearrange and showroom up-2x=2Divide both sides by 2 -x=1Multiply both sides by (-1) x=-1Which is the solution for the Negative Case

Step 4 :

Solve the Positive Case

(2x-3)=5Rearrange and add up2x=8Divide both sides by 2 x=4Which is the solution for the Positive Case

Step 5 :

Wrap up the solution

x=-1 x=4

Solutions on the Number Line

Two solutions were found :

x=4x=-1


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