Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

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Question: 1 / 400

Solve for x: 7x - 2 = 5.

x = 0

x = 1

To solve the equation $ 7x - 2 = 5 $, we begin by isolating the term containing $ x $. First, we add 2 to both sides of the equation:

7x - 2 + 2 = 5 + 2

This simplifies to:

7x = 7

Next, to solve for $ x $, we divide both sides of the equation by 7:

x = \frac{7}{7}

This simplifies to:

x = 1

Thus, the solution to the equation is $ x = 1 $.

This is why the correct answer is the value of $ x $ that satisfies the original equation, confirming that substituting $ x = 1 $ back into the equation results in a true statement. When you check:

7(1) - 2 = 5 \Rightarrow 7 - 2 = 5 \Rightarrow 5 = 5

This confirms $ x = 1 $ is indeed the solution.

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x = 2

x = 3

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