College Math Placement Practice Test 2026 - Free College Math Questions and Study Guide

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If 10x − 6 + 18x − 6(2x−4) = 2, what is the value of x?

x = −8/7

x = −7/8

x = −1

To solve the equation \( 10x - 6 + 18x - 6(2x - 4) = 2 \), we will simplify and combine like terms step by step.

First, distribute \( -6 \) across the expression \( (2x - 4) \):

\[

-6(2x) + (-6)(-4) = -12x + 24

\]

Now, substitute this back into the equation:

\[

10x - 6 + 18x - 12x + 24 = 2

\]

Next, combine the \( x \) terms and the constant terms:

\[

(10x + 18x - 12x) + (-6 + 24) = 2

\]

This simplifies to:

\[

16x + 18 = 2

\]

To isolate \( x \), subtract 18 from both sides:

\[

16x = 2 - 18

\]

\[

16x = -16

\]

Now, divide both sides by 16:

\[

x = \frac{-16}{16} = -1

\]

Thus, the value of \( x \) is

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x = 1

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