Solve for x in the equation x/4 + 5 = 9.

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Multiple Choice

Solve for x in the equation x/4 + 5 = 9.

Explanation:
To solve the equation \( \frac{x}{4} + 5 = 9 \), we first isolate the term containing \( x \). To do this, subtract 5 from both sides of the equation: \[ \frac{x}{4} + 5 - 5 = 9 - 5 \] This simplifies to: \[ \frac{x}{4} = 4 \] Next, to eliminate the fraction, multiply both sides of the equation by 4: \[ 4 \times \frac{x}{4} = 4 \times 4 \] This gives us: \[ x = 16 \] Thus, the solution to the equation is \( x = 16 \). This shows that the correct choice is the one that provides \( x \) as 16. It confirms that the steps taken were accurate, leading directly to the solution for the value of \( x \).

To solve the equation ( \frac{x}{4} + 5 = 9 ), we first isolate the term containing ( x ). To do this, subtract 5 from both sides of the equation:

[

\frac{x}{4} + 5 - 5 = 9 - 5

]

This simplifies to:

[

\frac{x}{4} = 4

]

Next, to eliminate the fraction, multiply both sides of the equation by 4:

[

4 \times \frac{x}{4} = 4 \times 4

]

This gives us:

[

x = 16

]

Thus, the solution to the equation is ( x = 16 ). This shows that the correct choice is the one that provides ( x ) as 16. It confirms that the steps taken were accurate, leading directly to the solution for the value of ( x ).

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