TEAS ATI Mathematics Practice Test 2025 - Free Essential Academic Skills Practice Questions and Study Guide

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Question: 1 / 400

Solve for x: 4(2x-6) = 10x - 6

x = 5

x = -7

x = -9

To solve the equation \( 4(2x - 6) = 10x - 6 \), we start by distributing the 4 on the left side:

\[

4 \times 2x - 4 \times 6 = 8x - 24

\]

Now, the equation looks like this:

\[

8x - 24 = 10x - 6

\]

Next, we want to isolate the variable \( x \). To do this, we can rearrange the equation by first getting all terms involving \( x \) on one side and constant terms on the other side. We can subtract \( 8x \) from both sides:

\[

-24 = 2x - 6

\]

Now, we add 6 to both sides to move the constant term:

\[

-24 + 6 = 2x

\]

This simplifies to:

\[

-18 = 2x

\]

Next, to solve for \( x \), we divide both sides by 2:

\[

x = \frac{-18}{2} = -9

\]

Thus, the correct value for \( x \) is -9. This matches with

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x = 10

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