Problem

Solve the equation |5x−3|=7.

Answer

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Answer

Solving the second equation 5x−3=−7, we get 5x=−7+3, then 5x=−4, which implies x=−45=−0.8.

Steps

Step 1 ：The absolute value equation |5x−3|=7 means that 5x−3=7 or 5x−3=−7.

Step 2 ：Solving the first equation 5x−3=7, we get 5x=7+3, then 5x=10, which implies x=105=2.

Step 3 ：Solving the second equation 5x−3=−7, we get 5x=−7+3, then 5x=−4, which implies x=−45=−0.8.

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