To solve the equation \(3(x-4)=3\), follow these steps:
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Distribute the 3 on the left side: \[ 3x - 12 = 3 \]
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Next, add 12 to both sides to isolate the term with \(x\): \[ 3x - 12 + 12 = 3 + 12 \] \[ 3x = 15 \]
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Finally, divide both sides by 3 to solve for \(x\): \[ x = \frac{15}{3} \] \[ x = 5 \]
So, the solution is: \[ x = 5 \]