Problem

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

Answer

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Answer

Solving the second equation gives: 2x=−5+3 which simplifies to 2x=−2. Dividing each side by 2 gives x=−1

Steps

Step 1 ：Rewrite the absolute value equation as two separate equations: 2x−3=5 and 2x−3=−5

Step 2 ：Solving the first equation gives: 2x=5+3 which simplifies to 2x=8. Dividing each side by 2 gives x=4

Step 3 ：Solving the second equation gives: 2x=−5+3 which simplifies to 2x=−2. Dividing each side by 2 gives x=−1

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