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Complete the flowchart below to solve (x)/(4)-1=4 square square ()

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Complete the flowchart below to solve (x)/(4)-1=4
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Complete the flowchart below to solve (x)/(4)-1=4 square square ()

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XavierMaster · Tutor for 5 years

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<br /><br />Step 1: The initial problem \[\frac{x}{4}-1=4.\]<br />In order to solve this equation, we need to remove the constants surrounding x.<br /><br />Step 2: Look at the equation, we have \( -1 \) as a constant subtracted from \( \frac{x}{4} \). By adding 1 to both sides of the equation, the left side of the equation gets rid of the \( -1 \) \[\frac{x}{4}-1+1=4+1\] which simplifies to \[\frac{x}{4}=5.\]<br /><br />Step 3: Now, there's only \( \frac{1}{4} \) that multiplies x on left side. After that, we should multiply both sides by 4 (the reciprocal of \( \frac{1}{4} \)) to get rid of the fraction:<br /><br />\[(\frac{x}{4}) \cdot 4 = 5 \cdot 4 \]<br />which simplifies to \[ x = 20 .\]<br /><br />Now the flowchart is completed!"<br /><br />So, we get the value of \( x \) which is \( \textbf{20} \).
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