What is the value of x in the equation 5x - 2 = 3x + 10?

What is the value of x in the equation 5x - 2 = 3x + 10?

• A. 6
• B. 8
• C. 12
• D. 4

Answer: (A)

To solve the equation \( 5x - 2 = 3x + 10 \), the goal is to isolate the variable \( x \) on one side of the equation. 1. Begin by moving the terms involving \( x \) to one side. Subtract \( 3x \) from both sides: \[ 5x - 3x - 2 = 10 \] This simplifies to: \[ 2x - 2 = 10 \] 2. Next, add 2 to both sides to eliminate the constant on the left side: \[ 2x - 2 + 2 = 10 + 2 \] This results in: \[ 2x = 12 \] 3. Finally, divide each side by 2 to solve for \( x \): \[ x = \frac{12}{2} \] Which simplifies to: \[ x = 6 \] The solution \( x = 6 \) is therefore the correct answer. This value satisfies the original

To solve the equation ( 5x - 2 = 3x + 10 ), the goal is to isolate the variable ( x ) on one side of the equation.

1. Begin by moving the terms involving ( x ) to one side. Subtract ( 3x ) from both sides:

[

5x - 3x - 2 = 10

]

This simplifies to:

[

2x - 2 = 10

]

2. Next, add 2 to both sides to eliminate the constant on the left side:

[

2x - 2 + 2 = 10 + 2

]

This results in:

[

2x = 12

]

3. Finally, divide each side by 2 to solve for ( x ):

[

x = \frac{12}{2}

]

Which simplifies to:

[

x = 6

]

The solution ( x = 6 ) is therefore the correct answer. This value satisfies the original