How do you solve for x in the equation 2x - 3 = 7?

How do you solve for x in the equation 2x - 3 = 7?

• A. x = 5
• B. x = 3
• C. x = 10
• D. x = 7

Answer: (A)

To solve for x in the equation \( 2x - 3 = 7 \), you start by isolating the term with x on one side of the equation. First, add 3 to both sides of the equation to eliminate the constant term on the left side: \[ 2x - 3 + 3 = 7 + 3 \] This simplifies to: \[ 2x = 10 \] Next, divide both sides of the equation by 2 to solve for x: \[ x = \frac{10}{2} \] This results in: \[ x = 5 \] Therefore, the correct answer is x = 5. This solution correctly follows algebraic principles of balancing equations by performing the same operation on both sides to isolate the variable.

To solve for x in the equation ( 2x - 3 = 7 ), you start by isolating the term with x on one side of the equation.

First, add 3 to both sides of the equation to eliminate the constant term on the left side:

[

2x - 3 + 3 = 7 + 3

]

This simplifies to:

[

2x = 10

]

Next, divide both sides of the equation by 2 to solve for x:

[

x = \frac{10}{2}

]

This results in:

[

x = 5

]

Therefore, the correct answer is x = 5. This solution correctly follows algebraic principles of balancing equations by performing the same operation on both sides to isolate the variable.