Solve the equation 4(x - 1) + 2 = 10.

To solve the equation ( 4(x - 1) + 2 = 10 ), we start by simplifying the left side of the equation.

First, distribute the 4 through the parentheses:

[ 4(x - 1) = 4x - 4 ]

Now, substitute this back into the equation:

[ 4x - 4 + 2 = 10 ]

Next, combine the constants on the left side:

[ 4x - 2 = 10 ]

To isolate the term with ( x ), add 2 to both sides:

[ 4x = 12 ]

Now, solve for ( x ) by dividing both sides by 4:

[ x = 3 ]

This confirms that the solution to the equation is ( x = 3 ). The steps show a clear pathway to arriving at the correct answer, illustrating how to manipulate algebraic expressions to isolate the variable. Therefore, the solution provided is indeed ( x = 3 ).