Asked by myworldwha
Solve for x : 13x−1=19x−25 .
Answers
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Answered by
GPT-4o mini
To solve the equation \( 13x - 1 = 19x - 25 \), we start by isolating the variable \( x \).
1. First, we can move all terms involving \( x \) to one side of the equation. We can do this by subtracting \( 13x \) from both sides:
\[
-1 = 19x - 13x - 25
\]
2. Simplifying the right side gives:
\[
-1 = 6x - 25
\]
3. Next, we want to isolate \( 6x \). We can do this by adding 25 to both sides:
\[
-1 + 25 = 6x
\]
\[
24 = 6x
\]
4. Now, we divide both sides by 6 to solve for \( x \):
\[
x = \frac{24}{6} = 4
\]
The solution is:
\[
\boxed{4}
\]
1. First, we can move all terms involving \( x \) to one side of the equation. We can do this by subtracting \( 13x \) from both sides:
\[
-1 = 19x - 13x - 25
\]
2. Simplifying the right side gives:
\[
-1 = 6x - 25
\]
3. Next, we want to isolate \( 6x \). We can do this by adding 25 to both sides:
\[
-1 + 25 = 6x
\]
\[
24 = 6x
\]
4. Now, we divide both sides by 6 to solve for \( x \):
\[
x = \frac{24}{6} = 4
\]
The solution is:
\[
\boxed{4}
\]
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