Question

Linear Expressions, Equations & Inequalities Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Solve for x
: 13x−1=19x−25
.(1 point)
Responses

x=3
x equals 3

x=−9
x equals negative 9

x=−6
x equals negative 6

x=4

Answer 1

To solve the equation \( 13x - 1 = 19x - 25 \), we can start by isolating \( x \).

1. First, let's move all terms involving \( x \) to one side and constant terms to the other side. We can do this by subtracting \( 13x \) from both sides:

\[
-1 = 19x - 13x - 25
\]

This simplifies to:

\[
-1 = 6x - 25
\]

2. Next, add \( 25 \) to both sides:

\[
-1 + 25 = 6x
\]

This simplifies to:

\[
24 = 6x
\]

3. Finally, divide both sides by \( 6 \):

\[
x = \frac{24}{6}
\]

This simplifies to:

\[
x = 4
\]

So the solution is \( x = 4 \).

The correct response is:
**x=4 (x equals 4)**