What is the solution to the equation \( 2x - 4 = 10 \)?

What is the solution to the equation \( 2x - 4 = 10 \)?

• A. 4
• B. 5
• C. 6
• D. 7

Answer: (D)

To solve the equation \( 2x - 4 = 10 \), the goal is to isolate the variable \( x \). First, add 4 to both sides of the equation to eliminate the constant on the left-hand side: \[ 2x - 4 + 4 = 10 + 4 \] This simplifies to: \[ 2x = 14 \] Next, divide both sides by 2 to solve for \( x \): \[ x = \frac{14}{2} \] This gives us: \[ x = 7 \] Thus, the solution to the equation \( 2x - 4 = 10 \) is \( x = 7 \). In this case, the correct solution accurately reflects the steps taken to isolate the variable and solve for \( x \). The process of rearranging the equation and simplifying confirms that the solution is valid.

To solve the equation ( 2x - 4 = 10 ), the goal is to isolate the variable ( x ).

First, add 4 to both sides of the equation to eliminate the constant on the left-hand side:

[

2x - 4 + 4 = 10 + 4

]

This simplifies to:

[

2x = 14

]

Next, divide both sides by 2 to solve for ( x ):

[

x = \frac{14}{2}

]

This gives us:

[

x = 7

]

Thus, the solution to the equation ( 2x - 4 = 10 ) is ( x = 7 ).

In this case, the correct solution accurately reflects the steps taken to isolate the variable and solve for ( x ). The process of rearranging the equation and simplifying confirms that the solution is valid.