Find the value of x that satisfies 6x - 3 = 3x + 9.

To solve the equation ( 6x - 3 = 3x + 9 ), we need to isolate ( x ).

1. Start by moving all terms involving ( x ) to one side and constants to the other side. We can subtract ( 3x ) from both sides: [

6x - 3x - 3 = 9 ] This simplifies to: [ 3x - 3 = 9 ]

2. Next, add 3 to both sides to move the constant: [ 3x - 3 + 3 = 9 + 3 ] This simplifies to: [ 3x = 12 ]

3. Finally, divide each side by 3 to solve for ( x ): [ x = \frac{12}{3} = 4 ]

Thus, the value of ( x ) that satisfies the equation ( 6x - 3 = 3x + 9 ) is 4. This indicates that when you substitute ( x = 4 ) back into the original