Algebra Practice Test

Question: 1 / 400

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

x = 1

x = 2

x = 3

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 \( x = 3 \).

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x = 4

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