What is the value of x in the equation 6x - 5 = 1?

To find the value of ( x ) in the equation ( 6x - 5 = 1 ), start by isolating the variable ( x ). The first step is to eliminate the constant term on the left side of the equation. This can be done by adding 5 to both sides:

[

6x - 5 + 5 = 1 + 5

]

This simplifies to:

[

6x = 6

]

Next, to solve for ( x ), divide both sides of the equation by 6:

[

\frac{6x}{6} = \frac{6}{6}

]

This reduces to:

[

x = 1

]

Thus, the correct value of ( x ) is 1, confirming the choice provided. This solution approach demonstrates the steps of balancing the equation systematically, leading directly to the correct answer.