Problem

Solve the absolute value equation |2x−5|=3.

Answer

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Answer

Step 2: Solve the equations separately. For 2x−5=3, we add 5 to both sides to get 2x=8, then divide by 2 to get x=4. For 2x−5=−3, we add 5 to both sides to get 2x=2, then divide by 2 to get x=1.

Steps

Step 1 ：Step 1: Rewrite the absolute value equation as a piecewise function. So, we have 2x−5=3 and 2x−5=−3.

Step 2 ：Step 2: Solve the equations separately. For 2x−5=3, we add 5 to both sides to get 2x=8, then divide by 2 to get x=4. For 2x−5=−3, we add 5 to both sides to get 2x=2, then divide by 2 to get x=1.

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