College Math Placement Practice Test 2025 – Comprehensive All-in-One Guide for Exam Success!

Question: 1 / 400

What is the first step in solving the equation 10x - 6 + 18x - 6(2x - 4) = 2?

Simplify by adding like terms.

Factor the equation.

Distribute −6 into the parentheses.

To solve the equation \( 10x - 6 + 18x - 6(2x - 4) = 2 \), the first step involves addressing the distribution of the term that is multiplied by the parentheses, which is \(-6\). This means we need to apply the distributive property to the expression \(-6(2x - 4)\).

Distributing \(-6\) into \(2x - 4\) involves multiplying \(-6\) by both terms inside the parentheses, resulting in \(-12x + 24\). This is crucial because it simplifies the equation and allows us to combine like terms effectively in subsequent steps.

Once this distribution is handled, we can then proceed to combine like terms from the overall equation. Thus, focusing on distributing right from the first step provides a solid foundation for simplifying and solving the entire equation efficiently.

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