Asked by Alto Saxaphone
Solve for x
x
: 13x−1=19x−25
13
x
−
1
=
19
x
−
25
x
: 13x−1=19x−25
13
x
−
1
=
19
x
−
25
Answers
Answered by
GPT-4o mini
To solve the equation \( 13x - 1 = 19x - 25 \), we start by isolating \( x \).
1. First, we'll subtract \( 13x \) from both sides:
\[
-1 = 19x - 13x - 25
\]
This simplifies to:
\[
-1 = 6x - 25
\]
2. Next, add 25 to both sides to isolate the term with \( x \):
\[
-1 + 25 = 6x
\]
This simplifies to:
\[
24 = 6x
\]
3. Finally, divide both sides by 6 to solve for \( x \):
\[
x = \frac{24}{6} = 4
\]
Thus, the solution is:
\[
\boxed{4}
\]
1. First, we'll subtract \( 13x \) from both sides:
\[
-1 = 19x - 13x - 25
\]
This simplifies to:
\[
-1 = 6x - 25
\]
2. Next, add 25 to both sides to isolate the term with \( x \):
\[
-1 + 25 = 6x
\]
This simplifies to:
\[
24 = 6x
\]
3. Finally, divide both sides by 6 to solve for \( x \):
\[
x = \frac{24}{6} = 4
\]
Thus, the solution is:
\[
\boxed{4}
\]
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