In the equation 2x - 5 = 9, what is the value of x?

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Multiple Choice

In the equation 2x - 5 = 9, what is the value of x?

Explanation:
To solve the equation \(2x - 5 = 9\) for the variable \(x\), we start by isolating \(x\) on one side of the equation. The first step is to eliminate the constant term on the left side. We can do this by adding \(5\) to both sides: \[ 2x - 5 + 5 = 9 + 5 \] This simplifies to: \[ 2x = 14 \] Next, to solve for \(x\), we need to eliminate the coefficient of \(2\) in front of \(x\). We can achieve this by dividing both sides of the equation by \(2\): \[ \frac{2x}{2} = \frac{14}{2} \] This simplifies to: \[ x = 7 \] Hence, the value of \(x\) is \(7\). This confirms that among the choices provided, the correct answer would correspond to the option that shows \(7\).

To solve the equation (2x - 5 = 9) for the variable (x), we start by isolating (x) on one side of the equation. The first step is to eliminate the constant term on the left side. We can do this by adding (5) to both sides:

[

2x - 5 + 5 = 9 + 5

]

This simplifies to:

[

2x = 14

]

Next, to solve for (x), we need to eliminate the coefficient of (2) in front of (x). We can achieve this by dividing both sides of the equation by (2):

[

\frac{2x}{2} = \frac{14}{2}

]

This simplifies to:

[

x = 7

]

Hence, the value of (x) is (7). This confirms that among the choices provided, the correct answer would correspond to the option that shows (7).

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