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Describe the steps to solve this absolute value equation:5+16−5x1=14

a. Add 5, subtract 16, divide by 5
b. Add 16, subtract 5, divide by 1
c. Subtract 16, add 5, divide by 5
d. Subtract 5, add 16, divide by 5

User Electro
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Main Answer:

The correct steps to solve the absolute value equation 5 + 16 - 5x1 = 14 are option D: Subtract 5, add 16, divide by 5.

Therefore, the correct answer is D: Subtract 5, add 16, divide by 5.

Step-by-step explanation:

To solve the absolute value equation \(5 + 16 - 5 \times 1 = 14\), start by isolating the variable. Begin by subtracting 5 from both sides, then add 16 to both sides of the equation. Finally, divide the result by 5 to find the value of the variable. This sequence of operations ensures that each step is performed in the correct order, maintaining the equality of the equation throughout the process.

Subtracting 5 accounts for the addition of 5 in the original equation, adding 16 counteracts the initial addition of 16, and dividing by 5 undoes the multiplication by 1. This systematic approach leads to the correct solution for the variable. Following these steps precisely will yield the correct value for x in the given absolute value equation.

Therefore, the correct answer is D: Subtract 5, add 16, divide by 5.

User GnxR
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